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- Title
Existence of solutions of a generalized bifunction-set optimization problem.
- Authors
Tuan, Le Anh; Sach, Pham Huu
- Abstract
An existence result is established for a generalized bifunction-set optimization problem, under some verifiable assumptions. Its proof is based on a Browder fixed point theorem and the KKMFan-Lemma. As applications of the main result of this paper, we obtain new existence results for some generalized versions of Kuroiwa set optimization problems and strong vector quasiequilibrium problems. Examples are provided. One of them is a non-cooperative generalized game with utility multifunctions.
- Subjects
QUASI-equilibrium; SET-valued maps
- Publication
Journal of Industrial & Management Optimization, 2023, Vol 19, Issue 6, p1
- ISSN
1547-5816
- Publication type
Article
- DOI
10.3934/jimo.2022129