Results 41 to 50 of about 115 (92)

A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings

open access: yesJournal 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

An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem

open access: yesAdvances in Difference Equations, 2021
This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
doaj   +1 more source

On η‐Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium‐Like Problems

open access: yesAbstract 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

Vector Equilibrium Problems with Generalized Monotone Bifunctions [PDF]

open access: yes, 1997
A vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally convex vector space, find x*∈K such that F(x*, y)
Bianchi M.
core   +1 more source

Extended f‐Vector Equilibrium Problem

open access: yesInternational 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

A NEW SOLUTION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS [PDF]

open access: yes, 2020
We propose a new method for solving an equilibrium problem where the bifunction is pseudomonotone with respect to its solution set. This method can be considered as an extension of the one introduced by Solodov and Svaiter in [28] from variational ...
Nguyen Duc, Hieu, Bui Van Dinh
core  

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

open access: yesJournal 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

open access: yesAbstract 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

Adaptive algorithms for equilibrium problems in Hadamard spaces [PDF]

open access: yes, 2020
Одним із популярних напрямів сучасного прикладного нелінійного аналізу є дослідження задач про рівновагу (нерівностей Кі Фаня, задач рівноважного програмування).
Семенов, В.В.   +1 more
core   +1 more source

A New Iterative Method for Equilibrium Problems and Fixed Point Problems

open access: yesAbstract 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

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