Hölder Continuity of Solutions to Parametric Vector Equilibrium Problems with Nonlinear Scalarization

DOI10.1080/01630563.2013.818549zbMath1290.49073OpenAlexW2085263471MaRDI QIDQ4979793

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Publication date: 19 June 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.818549

zbMATH Keywords

Hölder continuityLipschitz propertynonlinear scalarizationparametric vector equilibrium problemssolution mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Regularity of solutions in optimal control (49N60)

Related Items (10)

Error bounds for generalized mixed vector equilibrium problems via a minimax strategy ⋮ Unified vector quasiequilibrium problems via improvement sets and nonlinear scalarization with stability analysis ⋮ Notes on Lipschitz properties of nonlinear scalarization functions with applications ⋮ Lipschitz continuity of approximate solution mappings to parametric generalized vector equilibrium problems ⋮ Optimality conditions and minimax properties in set optimization ⋮ Nonlinear scalarization with applications to Hölder continuity of approximate solutions ⋮ Hölder continuity results for nonconvex parametric generalized vector quasiequilibrium problems via nonlinear scalarizing functions ⋮ Continuity results and error bounds on pseudomonotone vector variational inequalities via scalarization ⋮ Hölder Continuity for Solution Mappings of Parametric Non-convex Strong Generalized Ky Fan Inequalities ⋮ On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization

Cites Work

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