Results 41 to 50 of about 2,267 (120)
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then ...
Joachim Gwinner
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International Journal of Analysis, Volume 2016, Issue 1, 2016., 2016 We introduce and study variational‐like inequalities for generalized pseudomonotone set‐valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational‐like inequalities for generalized pseudomonotone set‐valued mappings in reflexive Banach spaces.
Syed Shakaib Irfan +2 more
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Existence and solution methods for equilibria [PDF]
, 2012 Equilibrium problems provide a mathematical framework which includes optimization, variational inequalities, fixed-point and saddle point problems, and noncooperative games as particular cases.
Bigi, Giancarlo +3 more
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A Wiener‐Hopf Dynamical System for Mixed Equilibrium Problems
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We suggest and analyze dynamical systems associated with mixed equilibrium problems by using the resolvent operator technique. We show that these systems have globally asymptotic property. The concepts and results presented in this paper extend and unify a number of previously known corresponding concepts and results in the literature.
Farhat Suhel +3 more
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Demonstratio Mathematica, 2021 The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol +2 more
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Journal 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
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Advances 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
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Abstract 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
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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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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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