D.E. Ward, Convex kernels and tangent cone chain rules, Vol. 2023 (2023), Article ID 26, pp. 1-13

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DOI: 10.23952/cot.2023.26

Received December 31, 2022; Accepted March 18, 2023; Published May 30, 2023

 

Abstract. In this paper we present formulas for the contingent and adjacent cones to the graph of a composition of set-valued mappings, under conditions involving these cones’ convex kernels. Special cases of the formulas include chain rules for epiderivatives of compositions of nonsmooth functions.

 

How to Cite this Article:
D.E. Ward, Convex kernels and tangent cone chain rules, Commun. Optim. Theory 2023 (2023) 26.