Abstract
This paper deals with the contractibility of solution sets for semiinfinite set optimization problems. We establish the starshapedness of the image of constraint map and upper semi-continuity of the constraint set-valued map. Further, by using these results we derive the contractibility of efficient, strong efficient and weak efficient solution sets for semi-infinite set optimization problems via generalized oriented distance function. An application to uncertain vectorvalued games is given at the end.
| Original language | English |
|---|---|
| Pages (from-to) | 429-443 |
| Number of pages | 15 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 25 |
| Issue number | 2 |
| State | Published - 2024 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2024 Yokohama Publications. All rights reserved.
Keywords
- Set Optimization
- arcwisc quasiconnectedness
- contractibility
- oriented distance function
- uncertain vector-valued games
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics
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