Connectedness of Henig Weakly Efficient Solution Set for Set-Valued Optimization Problems

Q. S. Qiu () and X. M. Yang ()
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Q. S. Qiu: Zhejiang Normal University
X. M. Yang: Chongqing Normal University

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 2, No 9, 439-449

Abstract: 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.

Keywords: Vector optimization; Henig weakly efficient solution; Super efficient solution; Set-valued mapping (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9906-3

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