Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity

Journal of inequalities and applications

Izhar Ahmad¹ 

关键词: multiobjective programming;    locally Lipschitz function;    strict minimizer;    optimality conditions;    duality;   

DOI  :  10.1186/s13660-015-0819-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, we consider a nondifferentiable multiobjective programming problem with support functions and locally Lipschitz functions. Several sufficient optimality conditions are discussed for a strict minimizer of a nondifferentiable multiobjective programming problem under strong invexity and its generalizations of order σ. Weak and strong duality theorems are established for a Mond-Weir type dual.

【 授权许可】

CC BY