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Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
Mixed Monotone-Generalized Contractions In Partially Ordered Probabilistic Metric Spaces, Łjubomir B.Bomir Ćirić, Ravi P. Agarwal, Bessem Samet
Mixed Monotone-Generalized Contractions In Partially Ordered Probabilistic Metric Spaces, Łjubomir B.Bomir Ćirić, Ravi P. Agarwal, Bessem Samet
Mathematics and System Engineering Faculty Publications
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved. The theorems Presented are an extension of many existing results in the literature and include several recent developments. © 2011 Ćirićć et al; licensee Springer.
Systems Of General Nonlinear Set-Valued Mixed Variational Inequalities Problems In Hilbert Spaces, Ravi P. Agarwal, Yeolje Cho, Narin Petrot
Systems Of General Nonlinear Set-Valued Mixed Variational Inequalities Problems In Hilbert Spaces, Ravi P. Agarwal, Yeolje Cho, Narin Petrot
Mathematics and System Engineering Faculty Publications
In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied. To overcome the difficulties, due to the presence of a proper convex lower semi-continuous function, φ and a mapping g, which appeared in the considered problem, we have used some applications of the resolvent operator technique. We would like to point out that although many authors have proved results for finding solutions of the systems of nonlinear set-valued (mixed) variational inequalities problems, it is clear that it cannot be directly applied to the problems …
Nonlocal Conditions For Differential Inclusions In The Space Of Functions Of Bounded Variations, Ravi P. Agarwal, Abdelkader Boucherif
Nonlocal Conditions For Differential Inclusions In The Space Of Functions Of Bounded Variations, Ravi P. Agarwal, Abdelkader Boucherif
Mathematics and System Engineering Faculty Publications
We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Solvability Of A Quadratic Hammerstein Integral Equation In The Class Of Functions Having Limits At Infinity, Ravi P. Agarwal, Józef Banas̈, Kamil Banas̈, Donal O'Regan
Solvability Of A Quadratic Hammerstein Integral Equation In The Class Of Functions Having Limits At Infinity, Ravi P. Agarwal, Józef Banas̈, Kamil Banas̈, Donal O'Regan
Mathematics and System Engineering Faculty Publications
The goal of the paper is to prove that a quadratic Hammerstein integral equation has solutions in the class of real functions denned, bounded, continuous on the real half-axis and having limits at infinity. The main tools used in our investigations are the technique of measures of noncompactness and the Darbo fixed point theorem. We provide an example illustrating our theory. © 2011 Rocky Mountain Mathematics Consortium.
Editorial Announcement, Ravi P. Agarwal
Editorial Announcement, Ravi P. Agarwal
Mathematics and System Engineering Faculty Publications
[No abstract available]
Impulsive Semilinear Neutral Functional Differential Inclusions With Multivalued Jumps, Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche
Impulsive Semilinear Neutral Functional Differential Inclusions With Multivalued Jumps, Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche
Mathematics and System Engineering Faculty Publications
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
On Random Topological Structures, Ravi P. Agarwal, Yeolje Cho, Reza Saadati
On Random Topological Structures, Ravi P. Agarwal, Yeolje Cho, Reza Saadati
Mathematics and System Engineering Faculty Publications
We present some topics about random spaces. The main purpose of this paper is to study topological structure of random normed spaces and random functional analysis. These subjects are important to the study of nonlinear analysis in random normed spaces.
On The Existence Of Equilibrium Points, Boundedness, Oscillating Behavior And Positivity Of A Sveirs Epidemic Model Under Constant And Impulsive Vaccination, Manuel De La Sen, Ravi P. Agarwal, Asier Ibeas, Santiago Alonso-Quesada
On The Existence Of Equilibrium Points, Boundedness, Oscillating Behavior And Positivity Of A Sveirs Epidemic Model Under Constant And Impulsive Vaccination, Manuel De La Sen, Ravi P. Agarwal, Asier Ibeas, Santiago Alonso-Quesada
Mathematics and System Engineering Faculty Publications
This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well as the boundedness of the total and partial populations. The model takes also into consideration the natural population growing and the mortality associated to the disease as well as the lost of immunity of newborns. It is assumed that there are two finite delays affecting the susceptible, recovered, exposed, and infected population dynamics. Some extensions are given for the case when impulsive nonconstant vaccination is incorporated at, …
Degenerate Anisotropic Differential Operators And Applications, Veli B. Shakhmurov
Degenerate Anisotropic Differential Operators And Applications, Veli B. Shakhmurov
Mathematics and System Engineering Faculty Publications
The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach-valued Lp spaces are given. Sharp estimates for resolvent, discreetness of spectrum, and completeness of root elements of the corresponding differential operators are obtained. In the last section, some applications of the main results are given.