Semicontinuity property of approximate solution mappings in bifunction-set optimization

DOI10.1007/S10957-021-01931-XzbMath1480.90236OpenAlexW3196347720MaRDI QIDQ2664900

Le Anh Tuan, Pham Hu'u Sach

Publication date: 18 November 2021

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

Full work available at URL: https://doi.org/10.1007/s10957-021-01931-x

zbMATH Keywords

semicontinuityapproximate solutionKy Fan inequalityset-valued mapset optimizationbifunction-set optimization

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31)

Related Items (2)

Existence of Solutions of Set Quasi-Optimization Problems Involving Minkowski Difference ⋮ Existence of solutions of a generalized bifunction-set optimization problem

Cites Work

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• Continuity of the solution set mappings to a parametric set optimization problem
• Continuity of approximate solution mappings for parametric equilibrium problems
• Stability property in bifunction-set optimization
• Strong vector equilibrium problems with LSC approximate solution mappings
• Nonconvex scalarization in set optimization with set-valued maps
• A minimax theorem for vector-valued functions. II
• Variational methods in partially ordered spaces
• Solution existence in bifunction-set optimization
• On set-valued optimization.

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