Optimality and duality in set-valued optimization using higher-order radial derivatives
Abstract
This paper is devoted to the study of optimality conditions and duality theory for a set-valued optimization problem. by using the higher-order radial derivative of a set-valued map, we establish Fritz John and Kuhn-Tucker types necessary and sufficient optimality conditions for a weak minimizer of a set-valued optimization problem under the assumption that set-valued maps in the formulation of objective and constraint maps are near cone-subconvexlike. As an application of the optimality conditions, we prove weak, strong and converse duality theorems for Mond-Weir and Wolfe types dual problems.References
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