吉林大学学报(理学版)Issue(4):687-692,6.DOI:10.13413/j.cnki.jdxblxb.2014.04.09
广义V-r-Ⅰ型不变凸非光滑多目标规划问题
Nonsmooth Multiobjective Programming under Generalized V-r-Type-Ⅰ Invexity
摘要
Abstract
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.关键词
非光滑多目标规划/有效解/广义V-r-Ⅰ型不变凸/充分最优性条件/混合型对偶Key words
nonsmooth multiobjective programming/efficient solution/generalized V-r-type-Ⅰinvexity/sufficient optimality conditions/mixed duality分类
数理科学引用本文复制引用
闫春雷..广义V-r-Ⅰ型不变凸非光滑多目标规划问题[J].吉林大学学报(理学版),2014,(4):687-692,6.基金项目
国家自然科学基金(批准号:11071110) (批准号:11071110)