On Hölder continuity of approximate solutions to parametric equilibrium problems

DOI10.1016/j.na.2011.10.029zbMath1237.49032OpenAlexW1970210927MaRDI QIDQ412695

Tran Ngoc Tam, Lam Quoc Anh, Phan Quoc Khanh

Publication date: 4 May 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.2011.10.029

zbMATH Keywords

concavityvariational inequalitiesapproximate solutionsHölder continuityconstrained minimizationfixed-point problemsparametric equilibrium problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) General equilibrium theory (91B50)

Related Items (23)

Stability analysis for set-valued equilibrium problems with applications to Browder variational inclusions ⋮ Stability of approximate solution mappings for generalized Ky Fan inequality ⋮ Hausdorff continuity of approximate solution maps to parametric primal and dual equilibrium problems ⋮ On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems ⋮ Hölder continuity of perturbed solution set for convex optimization problems ⋮ Stability analysis for vector quasiequilibrium problems ⋮ Continuity of approximate solution maps to vector equilibrium problems ⋮ Gap functions and Hausdorff continuity of solution mappings to parametric strong vector quasiequilibrium problems ⋮ Notes on Lipschitz properties of nonlinear scalarization functions with applications ⋮ Lipschitz continuity of approximate solution mappings to parametric generalized vector equilibrium problems ⋮ Continuity of approximate solution maps of primal and dual vector equilibrium problems ⋮ On Hölder continuity of approximate solution maps to vector equilibrium problems ⋮ Qualitative properties of solutions to set optimization problems ⋮ Nonlinear scalarization with applications to Hölder continuity of approximate solutions ⋮ Well-Posedness for Lexicographic Vector Equilibrium Problems ⋮ Order-preservation properties of solution mapping for parametric equilibrium problems and their applications ⋮ On Hölder calmness and Hölder well-posedness of vector quasi-equilibrium problems ⋮ On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality ⋮ Hölder Continuity for Solution Mappings of Parametric Non-convex Strong Generalized Ky Fan Inequalities ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ Upper order-preservation of the solution correspondence to vector equilibrium problems ⋮ On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities ⋮ On Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function

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