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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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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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Coercivity Conditions for Equilibrium Problems
Journal of Optimization Theory and Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bianchi,M, PINI, RITA
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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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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 solution of a class of equilibrium problems
Siberian Mathematical Journal, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Nash equilibrium problems
4OR, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FACCHINEI, Francisco, Christian Kanzow
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Time-Dependent Equilibrium Problems
2008Abstract The paper presents variational models for dynamic traffic, dynamic market, and evolutionary financial equilibrium problems taking into account that the equilibria are not fixed and move with time. The authors provide a review of the history of the variational inequality approach to problems in physics, traffic networks, and others, then they ...
VITANZA, Carmela, A. Maugeri
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Equivalence of Equilibrium Problems and Least Element Problems
Journal of Optimization Theory and Applications, 2007The authors introduce the concept of feasible set for an equilibrium problem with a convex cone, and generalize the notion of a \(Z\)-function for bifunctions. Under suitable assumptions, they derive some equivalence results of equilibrium problems, least element problems, and nonlinear programming problems.
Fang, Y.-P., Huang, N.-J.
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Strong Vector Equilibrium Problems
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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