Stability of minimal solutions to parametric set optimization problems

DOI10.1080/00036811.2017.1376320zbMath1416.49022OpenAlexW2755488487MaRDI QIDQ4689872

S. Khoshkhabar-amiranloo

Publication date: 22 October 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1376320

zbMATH Keywords

stabilitysemicontinuityHausdorff semicontinuityparametric set optimization problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued maps in general topology (54C60) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (15)

Convergence of the solution sets for set optimization problems ⋮ Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness ⋮ Convergence of solutions to set optimization problems with the set less order relation ⋮ Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ The stability of minimal solution sets for set optimization problems via improvement sets ⋮ Approximate weak minimal solutions of set-valued optimization problems ⋮ A note on ``Levitin-Polyak well-posedness in set optimization concerning Pareto efficiency ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ Unnamed Item ⋮ Semicontinuity of the minimal solution set mappings for parametric set-valued vector optimization problems ⋮ Stability of efficient solutions to set optimization problems ⋮ Well-posedness and stability in set optimization with applications ⋮ The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence ⋮ On the stability of minimal solutions for parametric set optimization problems ⋮ The stability of the solution sets for set optimization problems via improvement sets

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