Results 41 to 50 of about 115 (92)
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
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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
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
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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
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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
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, 2021 In this paper we propose a splitting subgradient algorithm for solving equilibrium problems involving the sum of two bifunctions. At each iteration of the algorithm, two strongly convex subprograms are required to solve separately, one for each component
Phung Minh Duc, Xuan Thanh Le
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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
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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
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Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Let K be a nonempty compact convex subset of a topological vector space. In this paper‐sufficient conditions are given for the existence of x ∈ K such that F(T)∩VEP(F) ≠ ∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector‐valued mapping F.
Kanokwan Sitthithakerngkiet +2 more
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