广义 F-不变凸多目标规划的对偶性

Duality in Multiple-Objective Optimization Involving Generalized F-invexity

研究了Ｂａｎａｃｈ空间中含广义Ｆ—不变凸函数的多目标规划问题的对偶性。介绍了约束规格及引理１，讨论了这类多目标规划问题的ｗｏｌｆｅ型对偶和Ｍｏｎｄ－Ｗｅｉｒ型对偶，并在较弱Ｆ—不变凸的假设下获得了强对偶、弱对偶和其它一些对偶结果。

This paper studies the duality of the Multiobjective optimization problem involving generalized F-invex functions in Banach space. The constraint qualification and lemma 1 are introduced. The Wolfe type of duality and Mond-Weir type of duality are obtained. Strong and weak duaity theorems and other results are given under weaker F- invexity assumptions.