Stability of approximate solution mappings for generalized Ky Fan inequality

DOI10.1007/s11750-015-0385-9zbMath1338.49051OpenAlexW410153971MaRDI QIDQ286204

Zhi Lin, Qi-Lin Wang, Xiao-bing Li

Publication date: 20 May 2016

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11750-015-0385-9

zbMATH Keywords

stabilitycontinuous convergencePainlevé-Kuratowski convergenceapproximate solution mappingsgeneralized Ky Fan inequality

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)

Related Items (6)

Painlevé-Kuratowski stability of approximate efficient solutions for perturbed semi-infinite vector optimization problems ⋮ Unnamed Item ⋮ Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems ⋮ Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces ⋮ Convergence analysis of solution sets for fuzzy optimization problems ⋮ Unnamed Item

Cites Work

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• Continuity of the solution set to parametric weak vector equilibrium problems
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• Vector equilibrium problems with generalized monotone bifunctions
• Option prices under stochastic volatility
• A note on the lower semicontinuity of efficient solutions for parametric vector equilibrium problems
• On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities
• Continuity of the solution mappings to parametric generalized vector equilibrium problems
• Stability for parametric implicit vector equilibrium problems
• Vector optimization. Set-valued and variational analysis.
• Extensions of two fixed point theorems of F. E. Browder
• Variational Analysis
• The Stability of Ky Fan's Points
• Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems

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