Convergence of solutions to set optimization problems with the set less order relation

DOI10.1007/s10957-020-01657-2zbMath1439.49055OpenAlexW3014859321MaRDI QIDQ2178884

Narin Petrot, Daishi Kuroiwa, Lam Quoc Anh, T. Q. Duy, Dinh Vinh Hien

Publication date: 11 May 2020

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

Full work available at URL: https://doi.org/10.1007/s10957-020-01657-2

zbMATH Keywords

internal stabilityset optimizationexternal stabilityset less order relation

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical methods based on nonlinear programming (49M37)

Related Items (13)

A new scalarization approach and applications in set optimization ⋮ A New Topological Framework and Its Application to Well-Posedness in Set-Valued Optimization ⋮ On epi-convergence for set-valued maps ⋮ Convergence of the solution sets for set optimization problems ⋮ Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness ⋮ Stability in set-valued optimization problems using asymptotic analysis and epi-convergence ⋮ Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ On global well-posedness of semi-infinite set optimization problems ⋮ Unnamed Item ⋮ Set relations and weak minimal solutions for nonconvex set optimization problems with applications ⋮ Stability of efficient solutions to set optimization problems ⋮ Painlevé-Kuratowski convergence of the solution sets for controlled systems of fuzzy vector quasi-optimization problems with application to controlling traffic networks under uncertainty

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