External and internal stability in set optimization

DOI10.1080/02331934.2018.1556663zbMath1411.49010OpenAlexW2906529897WikidataQ128712479 ScholiaQ128712479MaRDI QIDQ4631825

Unnamed Author, C. S. Lalitha

Publication date: 23 April 2019

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2018.1556663

zbMATH Keywords

stabilityHausdorff convergenceKuratowski-Painlevé convergencestrict quasiconvexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)

Related Items (14)

On epi-convergence for set-valued maps ⋮ Connectedness of weak minimal solution set for set optimization problems ⋮ Convergence of the solution sets for set optimization problems ⋮ Essential stability in set optimization ⋮ 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 ⋮ Stability in set-valued optimization problems using asymptotic analysis and epi-convergence ⋮ Hadamard well-posedness and stability in set optimization ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ Stability of efficient solutions to set optimization problems ⋮ The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence ⋮ On Levitin-Polyak well-posedness and stability in set optimization ⋮ On the stability of minimal solutions for parametric set optimization problems ⋮ Approximate solutions and Levitin-Polyak well-posedness for set optimization using weak efficiency

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