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

被引：0
作者：
Guolin Yu
机构：
[1] Beifang University of Nationalities,Institute of Applied Mathematics
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
optimality conditions; multi-objective optimization; semi-infinite optimization; strict minimizer of higher-order; 90C34; 90C40; 49J52;
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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.
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