Mixed Coderivatives of Set–Valued Mappings in Variational Analysis

Boris S. Mordukhovich, Yongzhao Shao · Journal of Applied Analysis · 1998

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.

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