Mixed coderivatives of set-valued mappings in variational analysis

• Autorzy: Mordukhovich B. S. , Shao Y.
• Języki publikacji: EN

Abstrakty

EN

We consider a refined coderivative construction for nonsmooth and set-valued mappings between Banach spaces. This limiting mixed coderivative is different from "normal" coderiva-tives 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.

Słowa kluczowe

EN

multifunctions and nonsmooth mapping; Banach and Asplund spaces; generalized differentiation; Lipschitzian stability; variational analysis

PL

uogólnione różniczkowanie; stabilność Lipschitziana; analiza wariacyjna

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1998
• Tom: Vol. 4, nr 2
• Strony: 269--294
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Mordukhovich B. S.

autor

Shao Y.

• Department of Mathematics Wayne State University Detroit, Michigan 48202 USA