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Articles 1 - 10 of 10
Full-Text Articles in Mathematics
Best Proximity Pairs Theorems For Continuous Set-Valued Maps, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal
Best Proximity Pairs Theorems For Continuous Set-Valued Maps, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal
Mathematics and System Engineering Faculty Publications
A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem. Copyright © 2008 A. Amini-Harandi et al.
Coincidence Point, Best Approximation, And Best Proximity Theorems For Condensing Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Ravi P. Agarwal, Donal O'Regan
Coincidence Point, Best Approximation, And Best Proximity Theorems For Condensing Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Ravi P. Agarwal, Donal O'Regan
Mathematics and System Engineering Faculty Publications
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application, we derive a coincidence point theorem for nonself-condensing set-valued maps.
Best Proximity Pairs For Upper Semicontinuous Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal
Best Proximity Pairs For Upper Semicontinuous Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal
Mathematics and System Engineering Faculty Publications
A best proximity pair for a set-valued map F : A → B with respect to a map g : A → A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex metric spaces.
Constant-Sign Solutions Of A System Of Volterra Integral Equations In Orlicz Spaces, Ravi P. Agarwal, Donal O'Regan, Patricia J.Y. Wong
Constant-Sign Solutions Of A System Of Volterra Integral Equations In Orlicz Spaces, Ravi P. Agarwal, Donal O'Regan, Patricia J.Y. Wong
Mathematics and System Engineering Faculty Publications
We consider the following system of Volterra intergral equations uu1(t) = gi(t, s)fi(s, u1(s), u2(s), · · ·, un(s))ds, a.e. t ∈ [0,T], 1 ≤ i ≤ n. Criteria are offered for the existence of one and more constantsign solutions u = (u1, u2, · · ·, un) of the system in Lp and the Orlicz spaces. We say u is of constant sign if for each 1 ≤ i ≤ n, Θiui(t) ≥ 0 for a.e. t ∈ [0,T], where Θi ∈ {1,-1} is fixed. © 2008 Rocky Mountain Mathematics Consortium.
Multiple Positive Solutions In The Sense Of Distributions Of Singular Bvps On Time Scales And An Application To Emden-Fowler Equations, Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera, Dolores R. Vivero
Multiple Positive Solutions In The Sense Of Distributions Of Singular Bvps On Time Scales And An Application To Emden-Fowler Equations, Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera, Dolores R. Vivero
Mathematics and System Engineering Faculty Publications
This paper is devoted to using perturbation and variational techniques to derive some sufficient conditions for the existence of multiple positive solutions in the sense of distributions to a singular second-order dynamic equation with homogeneous Dirichlet boundary conditions, which includes those problems related to the negative exponent Emden-Fowler equation.
Dead Cores Of Singular Dirichlet Boundary Value Problems With Φ-Laplacian, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
Dead Cores Of Singular Dirichlet Boundary Value Problems With Φ-Laplacian, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
Mathematics and System Engineering Faculty Publications
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
New Retarded Integral Inequalities With Applications, Youngho Kim, Ravi P. Agarwal, Syamal K. Sen
New Retarded Integral Inequalities With Applications, Youngho Kim, Ravi P. Agarwal, Syamal K. Sen
Mathematics and System Engineering Faculty Publications
Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in the study of certain classes of functional differential equations as well as integral equations. A existence and a uniqueness on the solution of the functional differential equation involving several retarded arguments with the initial condition are also indicated. Copyright © 2008 Ravi P. Agarwal et al.
Positive Solutions For Singular Three-Point Boundary-Value Problems, Ravi P. Agarwal, Donal O'Regan, Baoqiang Yan
Positive Solutions For Singular Three-Point Boundary-Value Problems, Ravi P. Agarwal, Donal O'Regan, Baoqiang Yan
Mathematics and System Engineering Faculty Publications
Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: y″(t) + a(t)f(t, y(t), y′(t)) = 0, 0 < t < 1, y′(0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, and f may be singular at y = 0 and y′ = 0. .
An Existence Principle For Nonlocal Difference Boundary Value Problems With Φ-Laplacian And Its Application To Singular Problems, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
An Existence Principle For Nonlocal Difference Boundary Value Problems With Φ-Laplacian And Its Application To Singular Problems, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
Mathematics and System Engineering Faculty Publications
The paper presents an existence principle for solving a large class of nonlocal regular discrete boundary value problems with the ψ-Laplacian. Applications of the existence principle to singular discrete problems are given.
Set-Theoretic Inequalities In Stochastic Noncooperative Games With Coalition, Jewgeni H. Dshalalow, Ailada Treerattrakoon
Set-Theoretic Inequalities In Stochastic Noncooperative Games With Coalition, Jewgeni H. Dshalalow, Ailada Treerattrakoon
Mathematics and System Engineering Faculty Publications
We model and analyze antagonistic stochastic games of three players, two of whom form a coalition against the third one. The actions of the players are modeled by random walk processes recording the cumulative damages to each player at any moment of time. The game continues until the single player or the coalition is defeated. The defeat of any particular player takes place when the associated process (representing the collateral damage) crosses a fixed threshold. Once the threshold is exceeded at some time, the associated player exits the game. All involved processes are being "observed by a third party process" …