An approximation theorem and generic convergence for equilibrium problems

DOI10.1186/s13660-018-1617-yzbMath1395.46057OpenAlexW2791223097WikidataQ49677536 ScholiaQ49677536MaRDI QIDQ681503

Xiaoling Qiu, Wensheng Jia, Ding-Tao Peng

Publication date: 12 February 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1617-y

zbMATH Keywords

set-valued mappingequilibrium problemsapproximation theoremgeneric convergencepseudocontinuity

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Numerical solutions to equations with nonlinear operators (65J15) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (3)

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Cites Work

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• Approximate solutions of quasiequilibrium problems in Banach spaces
• Hausdorff continuity of approximate solution maps to parametric primal and dual equilibrium problems
• The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set
• Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces
• Some results concerning the generic continuity of set-valued mappings
• Generic uniqueness of equilibrium points
• Continuity of approximate solution mappings for parametric equilibrium problems
• Generic well-posedness of fixed point problems
• Pseudocontinuous functions and existence of Nash equilibria
• Some characterizations of the approximate solutions to generalized vector equilibrium problems
• Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints
• Hadamard well-posedness in discontinuous non-cooperative games
• Well-posed equilibrium problems
• Existence of equilibria via Ekeland's principle
• Existence and solution methods for equilibria
• Genericity in nonlinear analysis
• Approximations of Equilibrium Problems
• Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems in Reflexive Banach Spaces
• The Stability of Ky Fan's Points

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