Results 41 to 50 of about 256 (104)
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert +3 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We first introduce the notion of η‐upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose ...
Ali Farajzadeh +3 more
wiley +1 more source
Extended f‐Vector Equilibrium Problem
International Journal of Computational Mathematics , Volume 2014, Issue 1, 2014., 2014 We introduce and study extended f‐vector equilibrium problem. By using KKM‐Fan Theorem as basic tool, we prove existence theorem in the setting of Hausdorff topological vector space and reflexive Banach space. Some examples are also given.
Khushbu, Zubair Khan, Sheung-Hung Poon
wiley +1 more source
Weak convergence of explicit extragradient algorithms for solving equilibirum problems
Journal of Inequalities and Applications, 2019 This paper aims to propose two new algorithms that are developed by implementing inertial and subgradient techniques to solve the problem of pseudomonotone equilibrium problems.
Habib ur Rehman +3 more
doaj +1 more source
Noncompact Equilibrium Points for Set‐Valued Maps
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove a generalized result on the existence of equilibria for a monotone set‐valued map defined on noncompact domain and take its values in an order of topological vector space. As consequence, we give a new variational inequality.
Souhail Chebbi +2 more
wiley +1 more source
A Primal-Dual Approach of Weak Vector Equilibrium Problems
, 2017 In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László, Szilárd
core +2 more sources
A New Iterative Method for Equilibrium Problems and Fixed Point Problems
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz‐type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space.
Abdul Latif +2 more
wiley +1 more source
Mixed Equilibrium Problems with Weakly Relaxed α‐Monotone Bifunction in Banach Spaces
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 We introduce the class of mixed equilibrium problems with the weakly relaxed α‐monotone bi‐function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed α‐monotone bi‐function in Banach spaces. The results presented in this paper extend and improve the corresponding results in
Wutiphol Sintunavarat +1 more
wiley +1 more source
MathematicsThe primary objective of this article is to enhance the convergence rate of the extragradient method through the careful selection of inertial parameters and the design of a self-adaptive stepsize scheme.
Habib ur Rehman +3 more
doaj +1 more source
Fixed Point Theory and Applications, 2018 In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie +1 more
doaj +1 more source