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Full-Text Articles in Entire DC Network
Design And Optimization Of Epitope Based Malaria Vaccine Targeting Pre-Erythrocytic Stage, Yogesh Nepal
Design And Optimization Of Epitope Based Malaria Vaccine Targeting Pre-Erythrocytic Stage, Yogesh Nepal
Biomedical Sciences ETDs
Malaria remains a major global health challenge. Currently available vaccines provide only modest and transient protection. In this work, we developed virus like particles (VLPs) based vaccine to target vulnerable epitopes of circumsporozoite protein, a key surface protein of pre-erythrocytic sporozoite stage, across different structural contexts. The immunogenicity of these highly immunogenic vaccines were further enhanced using immune stimulating agents, adjuvants, and the most promising VLP and adjuvant combinations were evaluated in preclinical challenge models to assess efficacy. In parallel, we performed research in an antigen agonistic manner using VLP library immunization that displays different fragments of a target protein …
Computational Design Of Peptides And Proteins Through Machine Learning Approaches, Emily J. Hendrix
Computational Design Of Peptides And Proteins Through Machine Learning Approaches, Emily J. Hendrix
Chemistry and Chemical Biology ETDs
Advancements in machine learning have emerged as a pivotal tool in computational biochemistry, offering new advancements to address challenges in protein structure and function. However, current machine-learning approaches offer limited insight in understanding protein dynamics. The purpose of this work is to combine traditional physics-based computational tools, such as molecular dynamics and coarse-grained simulations, with recently developed AI-driven computational tools to bridge gaps and advance the understanding of proteins in both structural and dynamic aspects. I investigated several approaches such as (i) traditional physics-based methods to study protein conformation and ensembles; (ii) identifying a peptide inhibitor for the PICK1 PDZ …
Computing Certificates Of Members In Archimedean Quadratic Modules In A[X] And Certifying The Emptiness In Inconsistent Monogenic Archimedean Quadratic Modules In A[X_1, ..., X_N], Jose A. Castellanos Joo
Computing Certificates Of Members In Archimedean Quadratic Modules In A[X] And Certifying The Emptiness In Inconsistent Monogenic Archimedean Quadratic Modules In A[X_1, ..., X_N], Jose A. Castellanos Joo
Computer Science ETDs
Polynomials have been found to be a powerful tool over hundreds of years for modeling problems in numerous applications in science, engineering, medicine, and other domains. In the context of formal methods, polynomials arise in modeling in aerospace software and robotics, cyber-physical and hybrid systems, autonomous vehicles and controllers based on neural networks.
A quadratic module is a linear combination of polynomials in a set of generators (including the constant 1) with sum of squares polynomials as multipliers. The membership problem for a finitely generated quadratic module can be decided; however, computing a certificate exhibiting why it is nonnegative under …
Design, Fabrication, And Characterization Of Silicon Nitride Microresonator Optical Frequency Combs, Lala Rukh
Design, Fabrication, And Characterization Of Silicon Nitride Microresonator Optical Frequency Combs, Lala Rukh
Optical Science and Engineering ETDs
Optical frequency combs consist of equidistant optical frequencies and have numerous applications ranging from optical metrology to medical diagnostics. Initially, frequency combs were based on bulky mode-locked lasers, but advancements in integrated photonics enabled the generation of frequency combs in chip-scale resonators (microcombs) using Kerr nonlinearity. These miniaturized systems present various challenges, including increased propagation losses, enhanced thermal effects, and the extension of microcombs to visible wavelengths. In this dissertation, I will focus on addressing these challenges in silicon nitride (SiN) resonators. First, this thesis focuses on the fabrication of high-Q SiN resonators and the impact of fabrication parameters on …
Assessing The Impact Of Multi-Physics Effects On Photovoltaic Module Degradation Using Computational Modeling, James Yuan Hartley
Assessing The Impact Of Multi-Physics Effects On Photovoltaic Module Degradation Using Computational Modeling, James Yuan Hartley
Mechanical Engineering ETDs
This dissertation describes research to develop and apply multi-physics simulation capabilities using finite element methods to analyze photovoltaic module damage mechanisms. Analyses of full-scale solar modules under mechanical load are presented, including experimental validation against measurements of external deflection and internal strain. Module damage by solar cell breakage and interconnection fatigue are discussed, and the applicability of simplifying analyses using mathematical plate theory is assessed. Detailed sub-module component models undergoing thermal-mechanical stressors are also presented, to identify the design features and materials most influential to stress generation and to assess the representativeness of using sub-module assemblies in accelerated testing. Finally, …
Brain-Based Mechanisms Of Behavioral Impairment In Fetal Alcohol Spectrum Disorder (Fasd): The Neuroimaging Biomarkers Of Inhibitory Control, Zinia Pervin
Biomedical Engineering ETDs
The developing brain is highly susceptible to alcohol-induced toxicity, often resulting in long-term deficits in executive function and behavioral regulation. Inhibitory control impairments are among the most prominent deficits observed in Fetal Alcohol Spectrum Disorder (FASD). This study investigated the neural mechanisms of inhibitory dysfunction using a multimodal MEG–DTI approach in 67 children aged 6–8 years (34 with FASD, 33 controls) who performed a Go/No-Go task. Source-level MEG analyses revealed reduced stimulus-locked cortical activation in the anterior cingulate cortex and significant group-by-hemisphere interactions in the superior parietal cortex and cuneus. Time–frequency analyses showed diminished response-locked beta power in the sensory-motor …
Policy Concerning Student Use Of Magnification Loupes By American Dental Hygiene Schools, Amye M. Burruss
Policy Concerning Student Use Of Magnification Loupes By American Dental Hygiene Schools, Amye M. Burruss
Dental Hygiene ETDs
This descriptive study was to assess whether dental hygiene schools require students to purchase magnification loupes, at what point in the program they implement the use of loupes, and which type of loupes they require students to purchase. A survey link through Microsoft Forms consisting of nineteen multiple-choice questions was emailed to 327 dental hygiene program directors and was open for a total of three weeks. With a response rate of 13% (45 respondents), results indicate that most dental hygiene programs mandate or strongly encourage the use of magnification loupes and allow students to start wearing loupes in the first …
Mapping Homogeneous Configuration States For Learning Based Motion Planners, Yazied Hasan
Mapping Homogeneous Configuration States For Learning Based Motion Planners, Yazied Hasan
Computer Science ETDs
Reinforcement learning (RL) excels at solving complex tasks, but training times can become prohibitively large for challenging motion-planning problems. Methods that address this cost often require additional training or tuning, counteracting the goal of reducing training time. A more effective approach is to exploit inherent task equivalences: many elements of the state space, dynamics, or structure are functionally interchangeable, enabling simplification or knowledge reuse. We present learning solutions that leverage these equivalences to enhance the RL process. First, we leverage the symmetry of homogeneous multi-agent teams to simplify the task to a single strategy. Second, we map correspondences between distinct …
Development Of A Lead-Lithium Eutectic Magnetohydrodynamic Loop For Corrosion Studies, Xavier S. Angus
Development Of A Lead-Lithium Eutectic Magnetohydrodynamic Loop For Corrosion Studies, Xavier S. Angus
Nuclear Engineering ETDs
Lead–lithium eutectic (LLE) is a leading candidate coolant and tritium breeder for fusion reactor blankets due to its favorable heat transfer properties and high tritium breeding ratio. However, LLE is highly corrosive and, in the strong magnetic fields present in fusion reactors, experiences magnetohydrodynamic (MHD) effects that can produce significant pressure drops and flow instabilities. Understanding corrosion behavior in these extreme environments is essential for assessing the viability of LLE blanket systems. This work presents the design and construction of a forced-convection LLE corrosion loop to study corrosion behavior at temperatures up to 425 °C and flow velocities up to …
Design And Analysis Of An Intermediate Heat Exchanger And Passive Decay Heat Removal System For A Generic Fluoride Salt-Cooled High-Temperature Reactor Application, Bao Hoang Nguyen
Nuclear Engineering ETDs
Generation IV reactors, such as the Fluoride salt-cooled High-temperature Reactor (FHR), feature efficient heat transfer and passive heat removal systems. However, accurately predicting thermal behavior under steady-state and transient conditions remains challenging. This work designs and evaluates a twisted tube heat exchanger (TTHX) serving as an intermediate heat exchanger (IHX) and a reactor cavity cooling system (RCCS) serving as a passive decay heat removal system for a generic FHR (gFHR), integrating both systems into a system-level MELCOR model. The TTHX was first designed and assessed using a MATLAB-based framework, followed by detailed MELCOR simulations. The results demonstrate effective heat transfer …
Sensitivity-Informed Resonance Parameter Cross Section Adjustments, Matthew Juan Lazaric
Sensitivity-Informed Resonance Parameter Cross Section Adjustments, Matthew Juan Lazaric
Nuclear Engineering ETDs
This work details the process of developing several new features into the MCNP6.3 Monte Carlo code for use in uncertainty quantification and reduction. These new capabilities, which include the CLUTCH method of calculating k-eigenvalue cross section sensitivities and the Windowed Multipole method of calculating cross sections, are implemented and verified against previous implementations and existing cross section data, respectively. These capabilities are then combined to produce sensitivities of k-eigenvalue to resonance parameters, which are verified against direct perturbation sensitivity estimates. The resonance parameters are calibrated using linear Bayesian methods and the accuracy of the resulting cross section is evaluated via …
Representativeness And Sensitivity Analysis Of Accident Tolerant Fuel Cladding Behavior In Reactivity-Initiated Accidents, Melissa Andrea Moreno
Representativeness And Sensitivity Analysis Of Accident Tolerant Fuel Cladding Behavior In Reactivity-Initiated Accidents, Melissa Andrea Moreno
Nuclear Engineering ETDs
Accident Tolerant Fuels (ATFs) such as FeCrAl are being developed to enhance safety margins in light water reactors during transients like Reactivity Initiated Accidents (RIAs). This dissertation evaluates the accuracy and representativeness of TRACE thermal hydraulic models for predicting FeCrAl C36M cladding behavior under steady state and transient flow boiling conditions. Benchmarking against University of New Mexico separate effects experiments shows that TRACE reproduces key thermal trends but underpredicts cladding temperatures near CHF by approximately 25 to 30%. A calibrated uncertainty and global sensitivity analysis, using Sobol indices, demonstrates that CHF and cladding temperature variability are dominated by mass flux, …
Realizing The Long Wavelength Array Swarm, Craig Anthony Taylor
Realizing The Long Wavelength Array Swarm, Craig Anthony Taylor
Physics & Astronomy ETDs
Sensitive modern radio interferometers are costly to build and operate at the university level. The `swarm telescope' concept addresses this challenge by enabling the collaborative use of individual telescope systems, overseen by separate institutions, that come together to form a more powerful and manageable facility. This dissertation focuses on demonstrating this concept using the Long Wavelength Array (LWA) by commissioning an aperture synthesis telescope consisting of interconnected LWA stations, called the LWA Swarm. The presented work details building a cost-efficient prototype LWA platform -- the LWA--North Arm station -- to enable synthesis imaging using the 3-element interferometer comprised of LWA1, …
Calibration Methodology, Diagnostic Performance, And Redesign Of The Current Monitors On The Z Machine At Sandia National Laboratories, Stacie Hernandez
Calibration Methodology, Diagnostic Performance, And Redesign Of The Current Monitors On The Z Machine At Sandia National Laboratories, Stacie Hernandez
Electrical and Computer Engineering ETDs
A proper evaluation of the current diagnostics fielded in the inner-MITL region of the Z facility in 3D simulation models had not been performed until now. The evaluation of the current monitors has brought insight to their performance in a new view that has led to discoveries. The B-dot probe was the current diagnostic-of-choice since before the refurbishment of the Z facility [1] and until the development of the Inductively Driven Transmission Line (IDTL) current diagnostic [2]. Experimental data has shown that the IDTL can produce cleaner signals and it is more robust than conventional B-dots. Simulation (modeled using COMSOL …
Millimeter-Wave Antenna Gain Enhancement Through Stacked Planar Substrates, Zachary Bergstedt
Millimeter-Wave Antenna Gain Enhancement Through Stacked Planar Substrates, Zachary Bergstedt
Electrical and Computer Engineering ETDs
This work presents a new wideband millimeter-wave (mmWave) and sub-terahertz antenna design with flexible directivity through the integration of stepped horn antennas and transverse substrate integrated waveguide (SIW) slots for radar and communication applications. The work gives a theoretical and analytical basis for this filter-inspired approach to improving bandwidth and directivity, and presents design and results for a standalone stepped horn, a Ka-band antenna with a solid stepped horn and SIW feed, and W-band antennas with empty SIW feeds and stepped horns manufactured out of multiple planar layers. The realized antennas show bandwidth up to 40% and gain up to …
Hierarchical Safe Reinforcement-Learning Framework For Mission-Aware, Edge-Enabled Multi-Uav Iot Networks, Abee F. Alazzwi
Hierarchical Safe Reinforcement-Learning Framework For Mission-Aware, Edge-Enabled Multi-Uav Iot Networks, Abee F. Alazzwi
Electrical and Computer Engineering ETDs
This Ph.D. dissertation presents a unified Hierarchical Safe Reinforcement Learning (HSRL) framework for mission-aware, edge-enabled multi-UAV Internet of Things (IoT) networks. The work addresses the need for autonomous aerial infrastructures capable of delivering low-latency communication, scalable edge computation, and provably safe operation in dynamic environments. The dissertation develops three primary contributions. First, it formulates longhorizon drone base station placement and load balancing as a strategic actor–critic learning problem, enabling proactive adaptation to spatiotemporal demand variations. Second, it introduces a mission-aware multi-agent reinforcement learning controller for coordinated mobility, sensing, and computation offloading under latency and energy constraints. Third, it integrates a …
Applications And Comparisons Of Machine Learning Methods In Ultra-Fast Laser Control, Aasma Aslam
Applications And Comparisons Of Machine Learning Methods In Ultra-Fast Laser Control, Aasma Aslam
Electrical and Computer Engineering ETDs
This dissertation demonstrates the applications and comparative analyses of machine learning methods in ultrafast laser control. By learning the relationship between the system’s input parameters and output pulse characteristics, the performance of a laser can be significantly improved. In this work, the results are presented in two stages by utilizing data from the femtosecond laser system. The first stage concerns two neural networks, named NN1 (fitrnet) and NN2 (feedforwardnet). The second stage, which extended with five different models, namely the linear regression (fitlm), the support vector machine (SVM), the Gaussian process regression (GPR), the boosted tree (fitrensemble), and LASSO (fitrlinear), …
Post-Fire Flood Modeling In Ruidoso, New Mexico: Improving Burn Scar Runoff Predictions, Pramesh Bhaila
Post-Fire Flood Modeling In Ruidoso, New Mexico: Improving Burn Scar Runoff Predictions, Pramesh Bhaila
Civil Engineering ETDs
Recent large wildfires in New Mexico have demonstrated severe hydrological driven by vegetation loss and the development of hydrophobic soil surfaces. This thesis evaluates the performance of three infiltration models—Curve Number (CN), Linear Constant (LC), and Green–Ampt (GA)— for the watershed impacted by the 2024 South Fork and Salt Fires near Ruidoso, New Mexico. All three models performed comparably during post‑fire simulations, with strong performance in 2024 and notable degradation in 2025, particularly for the CN. Post-fire analyses indicate substantial reductions in infiltration capacity, with CN increasing by 18–24%, LC initial deficit decreasing by 65–77%, effective hydraulic conductivity reduced by …
Assessing Uranyl-Specific Dnazymes And Dna-Aptamers For Uranium Binding In Environmentally Relevant Waters, Ashley R. Apodaca-Sparks
Assessing Uranyl-Specific Dnazymes And Dna-Aptamers For Uranium Binding In Environmentally Relevant Waters, Ashley R. Apodaca-Sparks
Civil Engineering ETDs
The legacy of uranium mining affects many communities in the western United States, resulting in elevated levels of uranium in surface water. The ability to quickly and accurately detect uranium on site in affected communities can lead to real-time water quality analysis that informs risk assessment and remediation efforts. The objective of this work is to advance the application of biosensing technologies for the measurement of uranium in waters affected by mining legacy. The third chapter of this thesis compares ANDalyze by AlpHa Instruments, a commercially available uranium biosensor, and inductively coupled plasma mass spectrometry (an EPA-verified method for uranium …
Investigating Workforce Development Gaps In Tribal Transportation Agencies, Benson Long Jr
Investigating Workforce Development Gaps In Tribal Transportation Agencies, Benson Long Jr
Civil Engineering ETDs
Tribal transportation programs face challenges in recruiting and retaining qualified staff, prompting reliance on external consultants for key responsibilities. This study explores how workforce constraints and organizational structures influence tribal outsourcing decisions. Survey data from 57 tribes informed a logistic regression model examining how geographic isolation, population size, training access, and the presence of a transportation department affect preferences for internal work, actual task completion, and instances where tribes intended to perform tasks in-house but outsourced instead. Findings indicate that outsourcing is driven by limited internal capacity, including staffing shortages, lack of certified personnel, and training opportunities. Geography also plays …
A Colonial Past Revisited: An Authethnography Of Outsider And Insider Identities In Indigenous Education Communities, Tara L. Deyoung
A Colonial Past Revisited: An Authethnography Of Outsider And Insider Identities In Indigenous Education Communities, Tara L. Deyoung
Teacher Education, Educational Leadership & Policy ETDs
In the late 90s, at Rehoboth Christian school, a small private boarding school in northwest New Mexico, I had four different English teachers in my four years of high school. All but two of my teachers at that time would be considered outsiders to the community in which they taught. Teacher outsiders leave schools and districts at higher rates than insiders to a community; this is especially true for rural and remote areas (Hudson et al., 2020). The purpose of this autoethnographic study is to analyze my history as a cultural outsider and insider in relation to my core beliefs …
Fault Location In Dc Microgrids Using Traveling Waves, Sajay Krishnan Paruthiyil
Fault Location In Dc Microgrids Using Traveling Waves, Sajay Krishnan Paruthiyil
Electrical and Computer Engineering ETDs
In DC power systems, rapid fault location is crucial for maintaining reliable operation, particularly with the prevalence of DC-DC converters. This study investigates fault location techniques in DC systems utilizing Traveling Waves (TWs). Following data normalization, multi-resolution analysis employs discrete wavelet transform to capture high-frequency patterns of TW's wavelet coefficients. Parseval's theorem is utilized to quantify the energy of these coefficients. First, a curve-fitting technique is employed to estimate fault locations in DC microgrids. Then, two transfer learning approaches are proposed: first approach integrates Parseval energy curves into a Gaussian process estimator, while second employs feedforward neural network for fault …
Active Brazing Of Single Crystal Al2o3 To Kovar Alloy With Agcuzr Filler Metal, Anthony M. Mcmaster
Active Brazing Of Single Crystal Al2o3 To Kovar Alloy With Agcuzr Filler Metal, Anthony M. Mcmaster
Mechanical Engineering ETDs
Brazing provides high strength and hermetic joining between metal, ceramic, and composite materials. Origins of the brazing process trace back to 3000BC, yet the technique continues to maintain relevance and demand across aerospace, medical, electronic, optical, and mechanical engineering. Here, single crystal Al2O3 (sapphire) was joined to Kovar in a single step via an AgCuZr active braze filler metal. The microstructure of the completed joint was investigating using microscopy and spectroscopy techniques. A unique braze chamber, paired with an optically clear top substrate (sapphire), allowed further investigation into the dynamics of the active braze process via in situ video monitoring. …
Linguistic Dual Hesitant Hypersoft Set And Their Application With Decision Making In Medical Diagnosis And Treatment, B. Sathiyapriya, V. Pankajam
Linguistic Dual Hesitant Hypersoft Set And Their Application With Decision Making In Medical Diagnosis And Treatment, B. Sathiyapriya, V. Pankajam
Neutrosophic Sets and Systems
This study presents Linguistic Dual Hesitant Hypersoft Set (LDHHS) for Analysing Medical Diagnose. In LDHHS, linguistic terms are combined with Dual Hesitant logic to handle uncertainty and vagueness in Decision-Making. The Hypersoft Set extend traditional soft sets by handling multi-attributes and interdependent parameters in Decision-Making. In the context of LDHHS can be used to categorize and assess different aspects of Aggregation and using Decision-Making in Medical Diagnose. In this study the development of this framework, its application and its potential impact using a Gastroesophageal reflux disease (GERD) case study to illustrate its effectiveness.
Advancing Neutrosophic Topology Through Gamma Generalized Alpha Closed Sets, B. Kalaiselvi, K. Sivakumar, S. Chandrasekar, P. Kalarani, A. Kesavan
Advancing Neutrosophic Topology Through Gamma Generalized Alpha Closed Sets, B. Kalaiselvi, K. Sivakumar, S. Chandrasekar, P. Kalarani, A. Kesavan
Neutrosophic Sets and Systems
This paper introduces a new class of Neutrosophic closed sets, termed Neutrosophic γ-generalized α-closed sets (Ne.(γGα)CS), together with their corresponding open sets (Ne.(γGα)OS), within the framework of Neutrosophic Topological Spaces (NTS). The study is motivated by limitations in existing classes of Neutrosophic closed sets, including α-closed, semi-closed, and γ-closed sets, which often lack sufficient flexibility for modeling hybrid structures characterized by partial membership, indeterminacy, and uncertainty. To overcome these limitations, the proposed Ne.(γGα)CS are defined using β-closure operators and α-open supersets, providing a more comprehensive framework that extends and unifies several previously established concepts. The properties of these sets are …
Neutrosophic Πgγ* Closed Sets In Neutrosophic Topological Spaces, K. Sakthivel, A. Gomathi
Neutrosophic Πgγ* Closed Sets In Neutrosophic Topological Spaces, K. Sakthivel, A. Gomathi
Neutrosophic Sets and Systems
This paper introduces and investigate the notion of Neutrosophic πgγ* closed sets within the framework of Neutrosophic topological spaces. The study begins defining Neutrosophic πgγ* closed sets and proceeds to investigate their fundamental properties and characterizations. Special attention is given to examining how these sets interrelate with and extend existing classes of Neutrosophic closed sets. By establishing inclusion relations and comparative hierarchies, the paper highlights the significance of Neutrosophic πgγ* closed sets in broadening the structural understanding of Neutrosophic topologies. Furthermore, several illustrative examples are provided to demonstrate the distinctive features of these sets and to clarify their role in …
Neutrosophic Quadruple Metric Spaces And Neutrosophic Quadruple Normed Spaces, Memet Şahin, Arif Sarıoğlan, Amanzholova Alina Bolatkyzy
Neutrosophic Quadruple Metric Spaces And Neutrosophic Quadruple Normed Spaces, Memet Şahin, Arif Sarıoğlan, Amanzholova Alina Bolatkyzy
Neutrosophic Sets and Systems
This study establishes fundamental results in the emerging domains of neutrosophic quadruple metric spaces and neutrosophic quadruple normed spaces. Building upon the recent definition of neutrosophic quadruple metric spaces, the first primary contribution is the development of fixed-point theory within this generalized framework. Specifically, we formulate and rigorously prove an analogue of the Banach contraction principle tailored for neutrosophic quadruple metric spaces. Furthermore, we establish additional fixed-point theorems applicable in this context, extending foundational results from classical metric spaces and simpler neutrosophic structures to handle the increased complexity and uncertainty modeled by quadruple-valued neutrosophic sets. The second major contribution involves …
Comparisons Of Infinitesimally Punctured Wave With Copenhagen And De Broglie-Bohm Interpretations, Neutrosophic Quantum Mechanics, And Non-Linear Electromagnetics, Florentin Smarandache
Comparisons Of Infinitesimally Punctured Wave With Copenhagen And De Broglie-Bohm Interpretations, Neutrosophic Quantum Mechanics, And Non-Linear Electromagnetics, Florentin Smarandache
Neutrosophic Sets and Systems
The article’s goal is to compare the "infinitesimally punctured wave" with the major interpretations of the fundamental philosophical differences in how physicists view reality at the quantum level.
Contra Continuous And Irresolute Maps Via M-Open Sets In N-Cylindrical Neutrosophic Topological Spaces, S. Anandhi, R. Vijayalakshmi, Shantha K. Lakshmi
Contra Continuous And Irresolute Maps Via M-Open Sets In N-Cylindrical Neutrosophic Topological Spaces, S. Anandhi, R. Vijayalakshmi, Shantha K. Lakshmi
Neutrosophic Sets and Systems
This paper introduces and investigates the concept of n-cylindrical neutrosophic contra M-continuous mappings within the framework of n-cylindrical neutrosophic topological spaces. Motivated by recent advances in neutrosophic contra continuous functions, irresolute mappings, and n-cylindrical fuzzy neutrosophic topological structures, the study establishes several fundamental properties of n-cylindrical neutrosophic contra M-irresolute mappings. The proposed mappings are analyzed in relation to existing classes of neutrosophic contra continuous and contra irresolute functions, highlighting their structural properties and interrelationships. The obtained results extend and generalize earlier studies in neutrosophic topology, thereby contributing to the theoretical development of neutrosophic topological spaces. Furthermore, this work provides a …
Advancing Common Fixed Point Theorems In Bipolar Fuzzy-2 Metric Space And Applications In Nonlinear Analysis, Rajesh Kumar Saini, Mukesh Kushwaha
Advancing Common Fixed Point Theorems In Bipolar Fuzzy-2 Metric Space And Applications In Nonlinear Analysis, Rajesh Kumar Saini, Mukesh Kushwaha
Neutrosophic Sets and Systems
This study advances common fixed point theorems (CFPT) in bipolar fuzzy-2 metric space (BF2MS) and explores their applications in nonlinear analysis. BF2MS generalizes traditional metric and fuzzy metric spaces (FMS) by incorporating dualistic relationships, allowing the representation of both attraction and repulsion effects. We extend classical fixed point theorems (FPTs) to BF2MS, establishing conditions for the existence of common fixed points (CFPs). The study's applications span nonlinear analysis, stability analysis, control theory, and multi-criteria decision-making under uncertainty. Our findings refine existing results and provide practical real-world applications, supported by numerical examples, enhancing fuzzy mathematics and nonlinear systems modeling.