广义V-r-Ⅰ型不变凸非光滑多目标规划问题

摘要

通过给出非光滑多目标规划问题的广义 V-r-Ⅰ型不变凸概念，在广义 V-r-Ⅰ型不变凸条件下得到了可行解为有效解的 Fritz-John 和 Karush-Kuhn-Tuker 充分条件，并建立了混合型对偶问题，证明了弱对偶与严格逆对偶定理。%Based on a new class of concept of generalized V-r-type-Ⅰ invexity defined for nonsmooth multiobjective programming problems, Fritz-John and Karush-Kuhn-Tuker sufficiently optimal conditions were obtained for a feasible point to be an efficient solution.Moreover,a mixed type dual was formulated and weak duality and strict converse duality theorems were proved.