Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives

Authors:
Nguyen Hoang Anh;Phan Quoc Khanh
Affiliations:
Department of Optimization and System Theory, University of Science of Hochiminh City, Hochiminh City, Vietnam;Department of Mathematics, International University of Hochiminh City, Hochiminh City, Vietnam
Venue:
Journal of Global Optimization
Year:
2014

Citing 6
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Abstract

We establish both necessary and sufficient optimality conditions of higher orders for various kinds of proper solutions to nonsmooth vector optimization in terms of higher-order radial sets and radial derivatives. These conditions are for global solutions and do not require continuity and convexity assumptions. Examples are provided to show advantages of the results over existing ones in a number of cases.