Upper Hölder continuity of parametric vector optimization problems

DOI10.1186/s13660-016-1225-7zbMath1353.49035OpenAlexW2559246583WikidataQ59467766 ScholiaQ59467766MaRDI QIDQ347447

Xiao-Wei Xue, Xian-Fu Hu

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1225-7

zbMATH Keywords

Hölder continuityvector optimization problemsolution mappingHölder calmnessoptimal value mapping

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Cites Work

• Unnamed Item
• On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization
• Hölder continuity of the solution set of the Ky Fan inequality
• Hölder continuity of solutions to parametric weak generalized Ky Fan inequality
• Hölder continuity of perturbed solution set for convex optimization problems
• Hölder continuity of solutions to a parametric variational inequality
• Hölder continuity of the unique solution to parametric vector quasiequilibrium problems via nonlinear scalarization
• Sensitivity analysis for abstract equilibrium problems
• On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems
• On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality
• Weak sharp efficiency and growth condition for vector-valued functions with applications

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