Directionally generalized differentiation for multifunctions and applications to set-valued programming problems

Vo Duc Thinh () and Thai Doan Chuong ()
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Vo Duc Thinh: Dongthap University
Thai Doan Chuong: Saigon University

Annals of Operations Research, 2018, vol. 269, issue 1, No 34, 727-751

Abstract: Abstract The aim of this work is twofold. First, we establish sum rules for the directionally coderivatives of multifunctions and intersection rules for the directionally limiting normal cones. Then, we apply the provided formulas to derive directionally necessary conditions for a set-valued optimization problem with equilibrium constraints.

Keywords: Directional subdifferential; Directional coderivative; Optimality condition; Set-valued optimization (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10479-017-2400-z

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