Abstract
In this paper, the concept of generalized cone subconvexlike set-valued maps is presented and a theorem of alternative for the system of generalized inequality-equality set-valued maps is established. By applying the theorem of the alternative and other results, necessary and sufficient optimality conditions for vector optimization problems with generalized cone subconvexlike set-valued maps are obtained.
Original language | English |
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Pages (from-to) | 627-640 |
Number of pages | 14 |
Journal | Journal of Optimization Theory and Applications |
Volume | 107 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 2000 |
Keywords
- Equivalent conditions
- Generalized convexity
- Optimality conditions
- Set-valued maps
- Theorem of the alternatives
- Vector optimization
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics