On the stability of minimal solutions for parametric set optimization problems

DOI10.1080/00036811.2019.1652733OpenAlexW2969028886MaRDI QIDQ4987129

Chuang-liang Zhang, Nan-Jing Huang

Publication date: 28 April 2021

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

Full work available at URL: https://doi.org/10.1080/00036811.2019.1652733

zbMATH Keywords

minimal solutiontopological spaceparametric set optimization problemrelaxed minimal solution

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items

Set optimization problems of generalized semi-continuous set-valued maps with applications, A New Topological Framework and Its Application to Well-Posedness in Set-Valued Optimization, A set scalarization function and Dini directional derivatives with applications in set optimization problems, Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices, Set relations and weak minimal solutions for nonconvex set optimization problems with applications, Well-posedness and stability in set optimization with applications

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