Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

Fixexd point theory and applications

Kwan Deok Bae¹  Do Sang Kim¹ 

[1] Department of Applied Mathematics, Pukyong National University, Busan, Korea

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

DOI  :  10.1186/1687-1812-2011-42

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. We formulate Mond-Weir type dual problem and establish weak and strong duality theorems for a strict minimizer of order m.

【 授权许可】

CC BY