Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets

N. Q. Huy () and J.-C. Yao ()
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N. Q. Huy: Hanoi Pedagogical University No. 2
J.-C. Yao: Kaohsiung Medical University

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 1, No 2, 25-43

Abstract: Abstract In this paper, without using any regularity assumptions, we derive a new exact formula for computing the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets. Our development establishes generalizations and complements of the existing results on the topic. An example to illustrate formulae is given.

Keywords: Perturbed polyhedral convex set; Normal cone mapping; Fréchet coderivative; Mordukhovich coderivative; Active index set; Face (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-012-0157-8

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