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On a class of nonconvex equilibrium problems
Applied Mathematics and Computation, 2004The author considers an equilibrium problem of the form: Find \(u \in K\) such that \[ F(g(u), g(v)) \geq 0 \quad \forall v \in K, \] where \(K\) is a closed set in a Hilbert space, \(g : K \rightarrow K\) is a mapping, and \(F : K \times K \rightarrow R\) is a bifunction. Moreover, the set \( g^{-1}(K)\) is supposed to be convex. Extensions of several
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Equilibrium Problems in the Quasimonotone Case
Journal of Optimization Theory and Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fakhar, M., Zafarani, J.
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The network equilibrium problem in integers
Networks, 1973AbstractIn the usual approach to network equilibrium models, the flow variables are modeled as continuous. When the problem under study involves discrete decision makers each controlling an indivisible unit of flow, another approach is called for. We treat the problem as an n‐person noncooperative game with pure strategies corresponding to feasible ...
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ON SOLUTION MAPPING OF EQUILIBRIUM PROBLEMS
JP Journal of Fixed Point Theory and Applications, 2016The paper introduces a solution mapping of the equilibrium problem in a real Hilbert space. The contractiveness, nonexpansiveness and strictly pseudo-contractiveness of the solution mapping under the corresponding monotone assumptions of the bifunction are obtained.
Anh, T. T. H., Ngoc, L. V.
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2010
In this chapter we give an overview of the theory of scalar equilibrium problems. To emphasize the importance of this problem in nonlinear analysis and in several applied fields we first present its most important particular cases as optimization, Kirszbraun’s problem, saddlepoint (minimax) problems, and variational inequalities.
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In this chapter we give an overview of the theory of scalar equilibrium problems. To emphasize the importance of this problem in nonlinear analysis and in several applied fields we first present its most important particular cases as optimization, Kirszbraun’s problem, saddlepoint (minimax) problems, and variational inequalities.
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On Lexicographic Vector Equilibrium Problems
Journal of Optimization Theory and Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On solution of a class of equilibrium problems
Siberian Mathematical Journal, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Equilibrium conditions for nonlocal problems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002The paper is concerned with obtaining generalized optimality conditions for a kind of nonlocal variational problems.
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Generalized Nash equilibrium problem over a fuzzy strategy set
Fuzzy Sets and Systems, 2022Xing Wang, Kok Lay Teo
exaly