Calculus of second-order subdifferentials in infinite dimensions

• Autorzy: Morduhovic B.
• Języki publikacji: EN

Abstrakty

EN

We study two types of second-order subdifferentials of extended-real-valued functions on Banach spaces that are important for applications in variational analysis, especially to sensitivity issues and second-order optimality conditions. The main concern of the paper is to derive extended sum and chain rules for these subdifferentials in the case of Asplund and general Banach spaces, which provide the basis for further theory and applications.

Słowa kluczowe

EN

Banach and Asplund spaces; nonsmooth functions; second-order subdifferentials; sum and chain rules; variatioual analysis

PL

analiza wariacyjna; przestrzeń Banacha i Asplunda

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no 3
• Strony: 557--573
• Opis fizyczny: Bibliogr. 31 poz.,

Twórcy

autor

Morduhovic B.