Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems

DOI10.1016/j.jmaa.2007.11.033zbMath1355.47023OpenAlexW2010489532MaRDI QIDQ2480357

Qamrul Hasan Ansari

Publication date: 31 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.11.033

zbMATH Keywords

lower semicontinuityexistence results\(u\)-hemicontinuitygeneralized pseudomonotonicitysystems of generalized implicit vector quasi-equilibrium problems\(\mathcal H\)-hemicontinuity\(\varPhi \)-condensing maps

Mathematics Subject Classification ID

Variational inequalities (49J40) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Variational and other types of inclusions (47J22)

Related Items (15)

Semicontinuity of the solution maps to vector equilibrium problems with equilibrium constraints ⋮ Continuity of the solution mapping to parametric generalized vector equilibrium problems ⋮ Existence and stability of solutions for a class of generalized vector equilibrium problems ⋮ Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces ⋮ Connectedness of solution sets of strong vector equilibrium problems with an application ⋮ Semicontinuity of Solution Mappings to Parametric Generalized Vector Equilibrium Problems ⋮ On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation ⋮ Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems in \(G\)-convex spaces ⋮ The existence of solutions for the system of vector quasi-equilibrium problems in topological order spaces ⋮ Existence and connectedness of solutions for generalized vector quasi-equilibrium problems ⋮ Upper semicontinuity of solution mappings to parametric generalized vector quasiequilibrium problems ⋮ Existence and stability of solutions for implicit multivalued vector equilibrium problems ⋮ On the existence result for system of generalized strong vector quasiequilibrium problems ⋮ Existence of solutions to the system of generalized implicit vector quasivariational inequality problems ⋮ Scalarized system of nonsmooth vector quasi-variational inequalities with applications to Debreu type vector equilibrium problems

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