Higher order optimality conditions for Henig efficient solutions in set-valued optimization☆

By Shengjie Li, C. Chen. 2006

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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.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/685cdff1e83e5fbfe6c6c2663a8b4562c73dd281