Further on set-valued equilibrium problems and applications to Browder variational inclusions

DOI10.1007/s10957-017-1169-1zbMath1377.26002OpenAlexW2754305290MaRDI QIDQ1682968

Vicenţiu D. Rădulescu, Boualem Alleche

Publication date: 6 December 2017

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

Full work available at URL: https://doi.org/10.1007/s10957-017-1169-1

zbMATH Keywords

convexitysemicontinuityset-valued mappingvariational inclusionequilibrium problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued functions (26E25) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Existence of solutions for minimax problems (49J35) Convexity of real functions of several variables, generalizations (26B25)

Related Items (11)

On Lipschitz continuity of approximate solutions to set-valued equilibrium problems via nonlinear scalarization ⋮ Stability analysis for set-valued equilibrium problems with applications to Browder variational inclusions ⋮ Further on set-valued equilibrium problems in the pseudo-monotone case and applications to Browder variational inclusions ⋮ Nonlinear Evolutionary Systems Driven by Set-Valued Mixed Equilibrium Problems ⋮ Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems ⋮ Hölder continuity of solution maps to parametric set-valued Ky Fan inequalities ⋮ Set valued equilibrium problems without linear structure ⋮ Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems ofp -Laplacian type ⋮ Qualitative properties of solutions to set optimization problems ⋮ Local dense solutions for equilibrium problems with applications to noncooperative games ⋮ Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems

Cites Work

• Solutions and approximate solutions of quasi-equilibrium problems in Banach spaces
• Densely defined equilibrium problems
• A generalization of Tychonoff's fixed point theorem
• Set-valued equilibrium problems with applications to Browder variational inclusions and to fixed point theory
• Semicontinuity of bifunctions and applications to regularization methods for equilibrium problems
• Generalized convexity and optimization. Theory and applications
• Handbook of applied analysis
• Browder-Hartman-Stampacchia variational inequalities for multi-valued monotone operators
• Set-valued versions of Ky Fan's inequality with application to variational inclusion theory
• Multivalued mixed variational inequalities with locally Lipschitzian and locally cocoercive multivalued mappings
• The Ekeland variational principle for equilibrium problems revisited and applications
• The fixed point theory of multi-valued mappings in topological vector spaces
• Equilibrium problems techniques in the qualitative analysis of quasi-hemivariational inequalities
• Generalized Monotone Operators on Dense Sets
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