Variational Analysis and Generalized Differentiation I Basic Theory [Hardcover]

Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces

Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

From the reviews:

The combination of the two volumes provide a thorough, self-contained, well-motivated view of an important line of research in variational analysis. This is a reference text which readers having an interest in variational analysis or any of the application areas should find to be a very useful resource. (Adam B. Levy, SIAM Review, Vol. 48 (3), 2006)

This two-volume book is a deep and wide treatise on variational analysis and its relationships with several fields of mathematics & . Among several aspects which make the book beautiful and interesting, there is the fact that the reader is met at a classical level of mathematical analysis & . it is precious for all scholars who want to learn modern variational analysis and related fields; indeed, this is a fundamental tool for those who are involved in the applications of mathematics. (Franco Giannessi, Journal of Optimization Theory and Applications, Vol. 131 (2), 2006)

This & monograph reflects the abiding and enthusiastic interest of the author in variational analysis. & Besides mathematics, there are extensive commentaries on the history and genesis of major topics under consideration & open problems, and an extensive bibliography (1379 references). These features make the book appreciated by students and experts in the field. The book will definitely serve lœ