Non-differentiable multiobjective mixed symmetric duality under generalized convexity

Journal of inequalities and applications

Jueyou Li¹ 

关键词: symmetric duality;    non-differentiable nonlinear programming;    generalized convexity;    support function;   

DOI  :  10.1186/1029-242X-2011-23

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The objective of this paper is to obtain a mixed symmetric dual model for a class of non-differentiable multiobjective nonlinear programming problems where each of the objective functions contains a pair of support functions. Weak, strong and converse duality theorems are established for the model under some suitable assumptions of generalized convexity. Several special cases are also obtained. MS Classification: 90C32; 90C46.

【 授权许可】

CC BY