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Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces |
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| Abstract: | In this article, firstly, a generalized cone subconvexlike set-valued map involving the relative algebraic interior is introduced in ordered linear spaces. Secondly, some properties of a generalized cone subconvexlike set-valued map are investigated. Finally, the optimality conditions of set-valued optimization problem are established. |
| Keywords: | relative algebraic interior generalized cone subconvexlikeness set-valued map alternative theorem optimality conditions |