Painlevé–Kuratowski convergences of the solution sets for set optimization problems with cone-quasiconnectedness
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Publication:5090302
DOI10.1080/02331934.2020.1857756zbMath1493.49011OpenAlexW3112323692MaRDI QIDQ5090302
Publication date: 18 July 2022
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1857756
vector optimization problemPainlevé-Kuratowski convergenceset optimization problemarcwise connectednesscone-quasiconnectedness
Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31)
Related Items (5)
Convergence of the solution sets for set optimization problems ⋮ Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices ⋮ Weak Henig proper solution sets for set optimization problems ⋮ Some characterizations of a nonlinear scalarizing function via oriented distance function
Cites Work
- Convergence of solutions of a set optimization problem in the image space
- Continuity of the solution set mappings to a parametric set optimization problem
- Sectionwise connected sets in vector optimization
- Nonconvex scalarization in set optimization with set-valued maps
- Extended well-posedness of quasiconvex vector optimization problems
- Variational methods in partially ordered spaces
- Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications
- Stability and scalarization of weak efficient, efficient and Henig proper efficient sets using generalized quasiconvexities
- Stability for properly quasiconvex vector optimization problem
- Convergence of solutions to set optimization problems with the set less order relation
- 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
- Existence theorems for set optimization problems
- Convergence for vector optimization problems with variable ordering structure
- Well-posedness and stability of solutions for set optimization problems
- External and internal stability in set optimization
- Stability for convex vector optimization problems
- Stability of minimal solutions to parametric set optimization problems
- Set convergence of non-convex vector optimization problem with variable ordering structure
- Nonlinear scalarizing functions in set optimization problems
- Set-valued Optimization
- An Embedding Theorem for Spaces of Convex Sets
- Stability in vector-valued and set-valued optimization
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