Results 41 to 50 of about 898 (112)

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

Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities [PDF]

open access: yes, 2012
We introduce and consider a new class of equilibrium problems and variational inequalities involving bifunction, which is called the nonconvex bifunction equilibrium variational inequality.
Khalida Inayat Noor   +2 more
core   +1 more source

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

ADAPTIVE EXTRA-PROXIMAL ALGORITHM FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES

open access: yesМіжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020
One of the most popular areas of modern applied nonlinear analysis is the study of equilibrium problems (Ky Fan inequalities, equilibrium programming problems).
Я.І. Ведель   +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

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  

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

Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces

open access: yesFixed 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

Mixed Equilibrium Problems with Weakly Relaxed α‐Monotone Bifunction in Banach Spaces

open access: yesJournal 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

Splitting extragradient-like algorithms for strongly pseudomonotone equilibrium problems

open access: yes, 2017
In this paper, two splitting extragradient-like algorithms for solving strongly pseudomonotone equilibrium problems given by a sum of two bifunctions are proposed.
Pham K.A., Trinh N.H.
core   +1 more source

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