Lexicographic and sequential equilibrium problems

DOI10.1007/s10898-009-9439-6zbMath1193.90202OpenAlexW2121384120MaRDI QIDQ967240

Rita Pini, Igor V. Konnov, Monica Bianchi

Publication date: 28 April 2010

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-009-9439-6

zbMATH Keywords

generalized monotonicity

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (17)

Upper semicontinuity of parametric lexicographic vector equilibrium problems ⋮ Vector network equilibrium problems with elastic demands ⋮ An outer approximation algorithm for equilibrium problems in Hilbert spaces ⋮ Various types of well-posedness for vector equilibrium problems with respect to the lexicographic order ⋮ Ekeland Variational Principles in Vector Equilibrium Problems ⋮ Unnamed Item ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ On penalty method for equilibrium problems in lexicographic order ⋮ Some minimax problems in lexicographic order ⋮ Well-Posedness for Lexicographic Vector Equilibrium Problems ⋮ Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems ⋮ Invariant-point theorems and existence of solutions to optimization-related problems ⋮ Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order ⋮ Tykhonov well-posedness for lexicographic equilibrium problems ⋮ New subgradient extragradient methods for solving monotone bilevel equilibrium problems ⋮ Continuity properties of solution maps of parametric lexicographic equilibrium problems ⋮ Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints

Cites Work

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• On lexicographic vector equilibrium problems
• Existence of solutions to some equilibrium problems
• Descent methods for monotone equilibrium problems in Banach spaces
• On the subdifferentials of quasiconvex and pseudoconvex functions and cyclic monotonicity
• Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
• Conditions ensuring the applicability of cutting-plane methods for solving variational inequalities
• Existence of equilibria via Ekeland's principle
• Coercivity conditions for equilibrium problems
• On maximal element theorems, variants of Ekeland's variational principle and their applications
• Maximal monotonicity of bifunctions
• The Nontransitive Consumer
• Lexicographic variational inequalities with applications
• A note on equilibrium problems with properly quasimonotone bifunctions

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