Results 41 to 50 of about 1,027 (114)
A NEW SOLUTION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS [PDF]
, 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
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
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
ADAPTIVE EXTRA-PROXIMAL ALGORITHM FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES
Міжнародний 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
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
, 2020 In this paper, we propose a new method, which is set up by incorporating an inertial step with the extragradient method for solving a strongly pseudomonotone equilibrium problems.
Ioannis K. Argyros +4 more
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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
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
Splitting extragradient-like algorithms for strongly pseudomonotone equilibrium problems
, 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.
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