Results 51 to 60 of about 2,267 (120)
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
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
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
Journal of Mathematics and Computer ScienceThis paper introduces a modification to the inertial subgradient extragradient algorithm by incorporating auxiliary parameters for updating, along with dynamic regularization coefficient, including the parallel viscosity algorithm.
M. Khonchaliew +3 more
semanticscholar +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
Twelve monotonicity conditions arising from algorithms for equilibrium problems [PDF]
, 2015 In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence.
BIGI, GIANCARLO, PASSACANTANDO, MAURO
core +1 more source
Symmetry, 2020 The main objective of this article is to propose a new method that would extend Popov’s extragradient method by changing two natural projections with two convex optimization problems.
H. Rehman +5 more
semanticscholar +1 more source
Existence Results for Nonsmooth Vector Quasi‐Variational‐Like Inequalities
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We introduce nonsmooth vector quasi‐variational‐like inequalities (NVQVLI) by means of a bifunction. We establish some existence results for solutions of these inequalities by using Fan‐KKM theorem and a maximal element theorem. By using the technique and methodology adopted in Al‐Homidan et al.
Mohammed Alshahrani +3 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
Auxiliary problem principles for equilibria [PDF]
, 2016 The auxiliary problem principle allows solving a given equilibrium problem (EP) through an equivalent auxiliary problem with better properties.
BIGI, GIANCARLO, PASSACANTANDO, MAURO
core +1 more source