Optimality conditions for strict minimizers of higher-order in semi-infinite multi-objective optimization

Journal of inequalities and applications

Guolin Yu¹ 

关键词: optimality conditions;    multi-objective optimization;    semi-infinite optimization;    strict minimizer of higher-order;    90C34;    90C40;    49J52;   

DOI  :  10.1186/s13660-016-1209-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is devoted to the study of optimality conditions for strict minimizers of higher-order for a non-smooth semi-infinite multi-objective optimization problem. We propose a generalized Guignard constraint qualification and a generalized Abadie constraint qualification for this problem under which necessary optimality conditions are proved. Under the assumptions of generalized higher-order strong convexity for the functions appearing in the formulation of the non-smooth semi-infinite multi-objective optimization problem, three sufficient optimality conditions are derived.

【 授权许可】

CC BY