Semicontinuity of the solution multifunctions of the parametric generalized operator equilibrium problems

DOI10.1016/j.na.2009.04.036zbMath1239.49035OpenAlexW1991180264MaRDI QIDQ425792

Won Kyu Kim, Sangho Kum, Kyoung Hee Lee

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.036

zbMATH Keywords

parametric generalized operator equilibrium and quasi-equilibrium problemupper and lower semicontinuity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued operators (47H04) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (7)

Hausdorff continuity of approximate solution maps to parametric primal and dual equilibrium problems ⋮ Semicontinuity of the solution maps to vector equilibrium problems with equilibrium constraints ⋮ Continuity of approximate solution maps to vector equilibrium problems ⋮ Gap functions and Hausdorff continuity of solution mappings to parametric strong vector quasiequilibrium problems ⋮ Continuity of approximate solution maps of primal and dual vector equilibrium problems ⋮ Best Proximity Points ⋮ Continuity properties of solution maps of parametric lexicographic equilibrium problems

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