%0 Journal Article
%T 基于半<i>E</i>-凸集值映优化问题的Kuhn-Tucker型最优性条件<br>Kuhn-Tucker Type Optimality Conditions Based on Semi-<i>E</i>-Convex Set-Valued Map Optimization Problem
%A 邹东易
%J Advances in Applied Mathematics
%P 412-416
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/aam.2025.145271
%X 集值优化是优化理论中的一个重要课题&#65292;在经济、管理等领域有着广泛的应用。本文在集值映射的半<i>E</i>-凸性假设下&#65292;利用择一定理&#65292;建立了集值优化问题的Kuhn-Tucker型最优性充分和必要条件。本文获得的结果推广了文献中的一些已知结果。<br>The set-valued optimization, which is widely applied in fields such as economics and management, is an important topic in optimization theory. In this paper, we will establish Kuhn-Tucker type optimality sufficient and necessary conditions for set-valued optimization problems under the assumption of semi-<i>E</i>-convexity of the set-valued map by using the alternative theorem. The results obtained in this paper extend some known results in the literature.
%K <i>E</i>-凸集&#65292
%K 半<i>E</i>-凸集值映射&#65292
%K 弱有效解&#65292
%K 最优性条件<br><i>E</i>-Convex Set
%K Semi-<i>E</i>-Convex Set-Valued Maps
%K Weakly Efficient Solution
%K Optimality Conditions
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=115983