Mordukhovich, Boris S. Calculus of second-order subdifferentials in infinite dimensions. (English) Zbl 1125.49306 Control Cybern. 31, No. 3, 557-573 (2002). Summary: 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. Cited in 7 Documents MSC: 49J52 Nonsmooth analysis 90C48 Programming in abstract spaces Keywords:variational analysis; nonsmooth functions; second-order subdifferentials; sum and chain rules; Banach and Asplund spaces PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Control Cybern. 31, No. 3, 557--573 (2002; Zbl 1125.49306)