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Connectedness of Henig Weakly Efficient Solution Set for Set-Valued Optimization Problems
Authors:Q S Qiu  X M Yang
Institution:(1) Department of Mathematics, Nanchang University, Nanchang, 330047, China
Abstract:In this paper, we study Henig weakly efficient solutions for set-valued optimization problems. The connectedness of the Henig weakly efficient solution set is proved under the condition that the objective function be a cone-arcwise connected set-valued mapping. As an application of the result, we establish the connectedness of the set of super efficient solutions.
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