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Licensed Unlicensed Requires Authentication Published by De Gruyter June 4, 2010

Mixed Coderivatives of Set–Valued Mappings in Variational Analysis

B. S. Mordukhovich and Y. Shao

Abstract

We consider a refined coderivative construction for nonsmooth and set-valued mappings between Banach spaces. This limiting mixed coderivative is different from “normal” coderivatives generated by normal cones/subdifferentials and turns out to be useful for studying some basic propertiers in variational analysis particularly related to Lipschitzian stability. We develop a strong calculus for this coderivative important for various applications.

Received: 1998-06-09
Published Online: 2010-06-04
Published in Print: 1998-December

© Heldermann Verlag

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