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Higher order optimality conditions for Henig efficient solutions in set-valued optimization |
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| Authors: | S.J. Li C.R. Chen |
| Affiliation: | College of Mathematics and Science, Chongqing University, Chongqing, 400044, China |
| Abstract: | In this paper, higher order generalized contingent epiderivative and higher order generalized adjacent epiderivative of set-valued maps are introduced. Necessary and sufficient conditions for Henig efficient solutions to a constrained set-valued optimization problem are given by employing the higher order generalized epiderivatives. |
| Keywords: | Higher order generalized (contingent) adjacent epiderivative Henig efficiency Higher order optimality conditions Set-valued optimization |
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