The stability of minimal solution sets for set optimization problems via improvement sets

DOI10.1186/s13660-023-02982-6OpenAlexW4377941535MaRDI QIDQ6067255

Yanhui Wei, Tai Yong Li

Publication date: 14 December 2023

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

Full work available at URL: https://doi.org/10.1186/s13660-023-02982-6

zbMATH Keywords

upper semicontinuitylower semicontinuityset optimizationimprovement set

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Combinatorial optimization (90C27) Programming in abstract spaces (90C48)

Cites Work

• On the solution continuity of parametric set optimization problems
• Continuity of the solution set mappings to a parametric set optimization problem
• New order relations in set optimization
• Vector optimization problems via improvement sets
• Variational methods in partially ordered spaces
• Improvement sets and vector optimization
• Set-relations and optimality conditions in set-valued maps
• Well-posedness and stability of solutions for set optimization problems
• Stability of minimal solutions to parametric set optimization problems
• Set optimization using improvement sets
• The stability of the solution sets for set optimization problems via improvement sets
• Set-valued Optimization
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