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K-epiderivatives for set-valued functions and optimization

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Abstract

Exploiting different tangent cones, many derivatives for set-valued functions have been introduced and considered to study optimality. The main goal of the paper is to address a general concept of K-epiderivative and to employ it to develop a quite general scheme for necesary optimality conditions in set-valued problems.

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Manuscript received: June 2001/Final version received: December 2001

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Bigi, G., Castellani, M. K-epiderivatives for set-valued functions and optimization. Mathematical Methods of OR 55, 401–412 (2002). https://doi.org/10.1007/s001860200187

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  • DOI: https://doi.org/10.1007/s001860200187

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