Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices
From MaRDI portal
Publication:6169206
DOI10.1080/02331934.2022.2045985zbMath1517.49014OpenAlexW4214881183MaRDI QIDQ6169206
Publication date: 14 August 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2022.2045985
Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Banach lattices (46B42)
Related Items (2)
Stability of optimal points with respect to improvement sets ⋮ Weak Henig proper solution sets for set optimization problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of solutions of a set optimization problem in the image space
- Existence and stability of solutions for a class of generalized vector equilibrium problems
- Continuity of the solution set mappings to a parametric set optimization problem
- New order relations in set optimization
- Banach lattices
- Variational methods in partially ordered spaces
- Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications
- Convergence of solutions to set optimization problems with the set less order relation
- Existence of efficient and properly efficient solutions to problems of constrained vector optimization
- Arcwise connectedness of the solution sets for set optimization problems
- The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence
- Connectedness of weak minimal solution set for set optimization problems
- Continuity of the efficient solution mapping for vector optimization problems
- Well-posedness and stability of solutions for set optimization problems
- On cone convexity of set-valued maps
- External and internal stability in set optimization
- Stability of minimal solutions to parametric set optimization problems
- On the stability of minimal solutions for parametric set optimization problems
- Stability of the set of solutions for generalized vector equilibrium problems with cone constraints
- Essential stability in set optimization
- Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness
- Nonlinear scalarizing functions in set optimization problems
- Set-valued Optimization
This page was built for publication: Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices