Convex Analysis in General Vector Spaces

Convex Analysis in General Vector Spaces by C. Zalinescu

ISBN10: 9812380671
ISBN13: 978-9812380678
Author: C. Zalinescu
Title: Convex Analysis in General Vector Spaces
Publisher: World Scientific Publishing Company (July 30, 2002)
Language: English
Size ePub: 1608 kb
Size PDF: 1876 kb
Rating: 4.7/5
Votes: 366
Pages:
Subcategory: Mathematics

Convex Analysis in General Vector Spaces by C. Zalinescu



The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.

Contents: Preliminary Results on Functional Analysis; Convex Analysis in Locally Convex Spaces; Some Results and Applications of Convex Analysis in Normed Spaces.


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