Optimality and duality for nonsmooth multiobjective optimization problems

Journal of inequalities and applications

Kwan Deok Bae¹ 

关键词: nonsmooth multiobjective programming;    strict minimizers;    optimality conditions;    duality;   

DOI  :  10.1186/1029-242X-2013-554

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a nonsmooth multiobjective programming problems including support functions with inequality and equality constraints. Necessary and sufficient optimality conditions are obtained by using higher-order strong convexity for Lipschitz functions. Mond-Weir type dual problem and duality theorems for a strict minimizer of order m are given.

【 授权许可】

CC BY