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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An erratum to this article is available at http://dx.doi.org/10.1007/s11590-011-0387-y.
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Wang, Q.L., Li, S.J. & Teo, K.L. Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization. Optim Lett 4, 425–437 (2010). https://doi.org/10.1007/s11590-009-0170-5
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DOI: https://doi.org/10.1007/s11590-009-0170-5