Stability of set-valued optimization problems with naturally quasi-functions

DOI10.1007/s10957-015-0802-0zbMath1337.49029OpenAlexW1228938626MaRDI QIDQ283926

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

Publication date: 17 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10957-015-0802-0

zbMATH Keywords

stability analysisPainlevé-Kuratowski convergenceminimal point setsminimizer setsnatural quasi-functionsset-valued optimization problems

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 (8)

On epi-convergence for set-valued maps ⋮ Essential stability in set optimization ⋮ Stability in set-valued optimization problems using asymptotic analysis and epi-convergence ⋮ Convergence of relaxed minimizers in set optimization ⋮ External and internal stability in set optimization ⋮ Painlevé–Kuratowski Convergence of Solutions for Perturbed Symmetric Set-Valued Quasi-Equilibrium Problem via Improvement Sets ⋮ Stability of minimal solutions to parametric set optimization problems ⋮ Set convergence of non-convex vector optimization problem with variable ordering structure

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