Results 21 to 30 of about 6,395,406 (312)
Mathematics, 2020 In this paper, we presented a modification of the extragradient method to solve pseudomonotone equilibrium problems involving the Lipschitz-type condition in a real Hilbert space.
Pasakorn Yordsorn +3 more
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Inequality problems of equilibrium problems with application
Sahand Communications in Mathematical Analysis, 2018 Summary: This paper aims at establishing the existence of results for a nonstandard equilibrium problems \((EP_N)\). The solutions of this inequality are discussed in a subset \(K\) (either bounded or unbounded) of a Banach space \(X\). Moreover, we enhance the main results by application of some differential inclusion.
Eleiwis Hashoosh, Ayed +2 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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Axioms, 2023 In this work, we are concerned with the iterative approximation of solutions to equilibrium problems in the framework of Hadamard manifolds. We introduce a subgradient extragradient type method with a self-adaptive step size. The use of a step size which
Olawale Kazeem Oyewole, Simeon Reich
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Axioms, 2020 A number of applications from mathematical programmings, such as minimization problems, variational inequality problems and fixed point problems, can be written as equilibrium problems.
Wiyada Kumam, Kanikar Muangchoo
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Solving the Set Equilibrium Problems [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of set equilibrium problems are derived. The new results extend and modify various existence theorems for similar problems.
Lin Yen-Cherng, Chen Hsin-Jung
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On hemicontinuity of bifunctions for solving equilibrium problems
Advances in Nonlinear Analysis, 2014 This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
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Axioms, 2020 Several methods have been put forward to solve equilibrium problems, in which the two-step extragradient method is very useful and significant. In this article, we propose a new extragradient-like method to evaluate the numerical solution of the ...
Nopparat Wairojjana +3 more
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Reducibility among equilibrium problems
Proceedings of the thirty-eighth annual ACM symposium on Theory of Computing, 2006 We address the fundamental question of whether the Nash equilibria of a game can be computed in polynomial time. We describe certain efficient reductions between this problem for normal form games with a fixed number of players and graphical games with fixed degree.
Paul W. Goldberg +1 more
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Approximations of Equilibrium Problems
SIAM Journal on Control and Optimization, 2012 In this paper we study the scalar equilibrium problem (EP). We employ variational convergences of bifunctions (lopsided convergence in the maxinf framework, hypo-convergence, and continuous convergence) to study this problem by means of an approximation method. This method allows us to obtain not only existence but also stability results.
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