集值优化问题强有效解的Kuhn Tucker最优性条件

Kuhn-Tucker Optimality Conditions for Set-Valued Optimization Problem in the Sense of Strongly Efficient Solutions

中文关键词:  强有效性  近似锥-次类凸性  集值优化  锥.

英文关键词:strong efficiency  nearly cone-subconvexlikeness  set-valued optimization  cone.

中文摘要:

      在局部凸空间中考虑集值优化问题(VP)在强有效解意义下的Kuhn-Tucker最优性条件. 在近似锥-次类凸假设下利用择一性定理得到了(VP)取得强有效解的必要条件,利用基泛函的性质给出了(VP)取得强有效解的充分条件,最后给出了一种与(VP)等价的无约束规划.

英文摘要:

      Kuhn-Tucker optimality conditions for the set-valued optimization problem (VP) with constraints are considered in the sense of strongly efficient solutions in locally convex spaces. Under the assumption of nearly cone-subconvexlikeness, by applying alternative theorem, a Kuhn-Tucker optimality necessary condition for (VP) is derived. By using the properties of base functionals, a sufficient condition is also obtained. Finally, a kind of unconstrained program equivalent to (VP) is established.