Results 21 to 30 of about 94 (90)

Ulam stability of Volterra integral equation on a generalized metric space

, 2020
The aim of this paper is to give some Ulam-Hyers stability results for Volterra integral equations on a generalized metric space. In this case we consider the Volterra integral equation in the Krasnoselski-Krein and Naguno-Perron-Van Kampen conditions ...
LUNGU, Nicolaie, CIPLEA, Sorina Anamaria
core   +1 more source

Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 199-207, 2003., 2003
The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented.
Zeqing Liu, Jeong Sheok Ume, Shin Min Kang   +2 more
wiley   +1 more source

KKM theorem with applications to lower and upper bounds equilibrium problem in G‐convex spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3267-3276, 2003., 2003
We give some new versions of KKM theorem for generalized convex spaces. As an application, we answer a question posed by Isac et al. (1999) for the lower and upper bounds equilibrium problem.
M. Fakhar, J. Zafarani
wiley   +1 more source

Existence results for general inequality problems with constraints

Abstract and Applied Analysis, Volume 2003, Issue 10, Page 601-619, 2003., 2003
This paper is concerned with existence results for inequality problems of type F0(u; v) + Ψ′(u; v) ≥ 0, for all v ∈ X, where X is a Banach space, F : X → ℝ is locally Lipschitz, and Ψ : X → (−∞ + ∞] is proper, convex, and lower semicontinuous. Here F0 stands for the generalized directional derivative of F and Ψ′ denotes the directional derivative of Ψ.
George Dincă, Petru Jebelean, Dumitru Motreanu   +2 more
wiley   +1 more source

Completely generalized multivalued nonlinear quasi‐variational inclusions

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 593-604, 2002., 2002
We introduce and study a new class of completely generalized multivalued nonlinear quasi‐variational inclusions. Using the resolvent operator technique for maximal monotone mappings, we suggest two kinds of iterative algorithms for solving the completely generalized multivalued nonlinear quasi‐variational inclusions.
Zeqing Liu, Lokenath Debnath, Shin Min Kang, Jeong Sheok Ume   +3 more
wiley   +1 more source

Mixed variational inequalities and economic equilibrium problems

Journal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002
We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley   +1 more source

Nonmonotone equilibrium problems: coercivity conditions and weak regularization

, 2010
Equilibrium problems, Nonmonotone bifunctions, Coercivity conditions, Regularization method, Existence of solutions, 90C33, 49J40, 47J20, 65K10, 65J20,
D. Dyabilkin, I. Konnov, D. A. Dyabilkin, I. V. Konnov   +3 more
core   +1 more source

A New Resolvent‐Based Method for Solving Generalized Variational Inclusions and Its Application to Image Deblurring

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer, Mohammad Farid, Rehan Ali, Smritijit Sen   +3 more
wiley   +1 more source

On the combination of generalized equilibrium problems and its application to bandwidth allocation

Demonstratio Mathematica
This paper proposes a new theoretical framework for solving combinations of generalized equilibrium problems (CGEPs). The main contribution is a strong convergence theorem established under milder and more flexible assumptions than those commonly imposed
Kangtunyakarn Atid, Araveeporn Autcha
doaj   +1 more source

On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals

Advanced Nonlinear Studies, 2018
In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u∈Lp⁢(0,T;W01,p⁢(Ω)){u\in L^{p}(0,T;W^{1,p}_{0}(\Omega))} and f∈F⁢(⋅,⋅,u){f\in F(\cdot,\cdot,u)} such that u⁢(⋅,0)=u0{u(\
Le Vy Khoi, Schmitt Klaus
doaj   +1 more source