CONVEX ANALYSIS IN GENERAL VECTOR SPACES by C Zalinescu (PDF)

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    Ebook Info

    • Published: 2002
    • Number of pages: 388 pages
    • Format: PDF
    • File Size: 18.37 MB
    • Authors: C Zalinescu

    Description

    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.

    User’s Reviews

    Editorial Reviews: Review Researchers will appreciate Convex Analysis in General Vector Spaces as a useful and comprehensive reference — Mathematical Reviews, 2003The author is a well known specialist in the field and the book incorporates many of his original results. — Studia Universitatis Babes-Bolyai, Series Mathematica, Mar 2003

    Keywords

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