Optimality conditions for proper efficient solutions of vector set-valued optimization |
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Authors: | Xun-Hua Gong Shou-Yang Wang |
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Affiliation: | a Department of Mathematics, Nanchang University, Nanchang 330047, China b Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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Abstract: | Based on the concept of an epiderivative for a set-valued map introduced in J. Nanchang Univ. 25 (2001) 122-130, in this paper, we present a few necessary and sufficient conditions for a Henig efficient solution, a globally proper efficient solution, a positive properly efficient solution, an f-efficient solution and a strongly efficient solution, respectively, to a vector set-valued optimization problem with constraints. |
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Keywords: | Set-valued vector optimization Proper efficiency Epiderivative Optimality conditions |
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