On the solution continuity of parametric set optimization problems

DOI10.1007/s00186-016-0541-5zbMath1356.90144OpenAlexW2321794351MaRDI QIDQ328537

Sheng Jie Li, Yangdong Xu

Publication date: 20 October 2016

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-016-0541-5

zbMATH Keywords

parametric set optimizationquasi convexityu-lower level set

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (18)

Set optimization problems of generalized semi-continuous set-valued maps with applications ⋮ Essential stability in set optimization ⋮ Convergence of solutions to set optimization problems with the set less order relation ⋮ The stability of minimal solution sets for set optimization problems via improvement sets ⋮ On global well-posedness of semi-infinite set optimization problems ⋮ External and internal stability in set optimization ⋮ Qualitative properties of solutions to set optimization problems ⋮ Semicontinuity of the minimal solution set mappings for parametric set-valued vector optimization problems ⋮ Stability property in bifunction-set optimization ⋮ Stability of minimal solutions to parametric set optimization problems ⋮ Continuity of solutions for parametric set optimization problems via scalarization methods ⋮ Well-posedness and stability in set optimization with applications ⋮ Levitin-Polyak well-posedness in set optimization concerning Pareto efficiency ⋮ A note on semicontinuity of the solution mapping for parametric set optimization problems ⋮ On the stability of minimal solutions for parametric set optimization problems ⋮ The stability of the solution sets for set optimization problems via improvement sets ⋮ Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems ⋮ Continuity of solutions mappings of parametric set optimization problems

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