Solutions and approximate solutions of quasi-equilibrium problems in Banach spaces

DOI10.1007/s10957-015-0854-1zbMath1351.47040OpenAlexW2202196202MaRDI QIDQ306408

Vicenţiu D. Rădulescu, Boualem Alleche

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1007/s10957-015-0854-1

zbMATH Keywords

fixed pointsemicontinuityset-valued mappingcontinuous selectionquasi-equilibrium problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued and variational analysis (49J53) Existence of solutions for minimax problems (49J35) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items

Further on set-valued equilibrium problems in the pseudo-monotone case and applications to Browder variational inclusions, Semicontinuity of solutions and well-posedness under perturbations for equilibrium problems with nonlinear inequality constraints, Further on set-valued equilibrium problems and applications to Browder variational inclusions, A modified Michael's selection theorem with application to generalized Nash equilibrium problem, Existence results and optimal control for a class of quasi mixed equilibrium problems involving the \((f,g,h)\)-quasimonotonicity, Hölder continuity of solution maps to parametric set-valued Ky Fan inequalities, On the stability of approximate solutions to set-valued equilibrium problems, A Ky Fan minimax inequality for quasiequilibria on finite-dimensional spaces, Existence of quasiequilibria in metric vector spaces, Existence results for quasi-equilibrium problems under a weaker equilibrium condition, Generalized strong vector quasi-equilibrium problems with variable ordering structure, Scalar and vector equilibrium problems with pairs of bifunctions

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