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Ekeland’s principle for vector equilibrium problems
Nonlinear Analysis: Theory, Methods & Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bianchi, Monica +2 more
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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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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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Generalized vector quasi-equilibrium problems
Mathematical Methods of Operations Research (ZOR), 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gap Functions for Equilibrium Problems
Journal of Global Optimization, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Barrier methods for equilibrium problems
2017We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem.
I. Konnov, R. Pini, M. Bianchi
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Band structure engineering and non-equilibrium dynamics in Floquet topological insulators
Nature Reviews Physics, 2020Mark S Rudner, Netanel H Lindner
exaly