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

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 w...

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Bibliographic Details
Published in:Journal of inequalities and applications 2016-10, Vol.2016 (1), p.1-13, Article 263
Main Author: Yu, Guolin
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Convexity
Formulations
Inequalities
Mathematics
Mathematics and Statistics
multi-objective optimization
Multiple objective analysis
optimality conditions
Optimization
semi-infinite optimization
strict minimizer of higher-order
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Summary: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.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-1209-7