Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
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| Authors: | Q. L. Wang S. J. Li K. L. Teo |
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| Affiliation: | 1.College of Mathematics and Science,Chongqing University,Chongqing,China;2.College of Sciences,Chongqing Jiaotong University,Chongqing,China;3.Department of Mathematics and Statistics,Curtin University of Technology,Perth,Australia |
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| Abstract: | In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives. |
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