Convex Functions, Monotone Operators, and Differentiability - Info and Reading Options
By Robert R. Phelps
"Convex Functions, Monotone Operators, and Differentiability" was published by Springer-Verlag in 1993 - Berlin, the book is classified in Convex functions genre, it has 116 pages and the language of the book is English.
“Convex Functions, Monotone Operators, and Differentiability” Metadata:
- Title: ➤ Convex Functions, Monotone Operators, and Differentiability
- Author: Robert R. Phelps
- Language: English
- Number of Pages: 116
- Is Family Friendly: Yes - No Mature Content
- Publisher: Springer-Verlag
- Publish Date: 1993
- Publish Location: Berlin
- Genres: Convex functions
“Convex Functions, Monotone Operators, and Differentiability” Subjects and Themes:
- Subjects: ➤ Convex functions - Differentiable functions - Monotone operators - Functions of real variables - Operator theory - Mathematics - System theory - Global analysis (Mathematics) - Mathematical optimization - Analysis - Control Systems Theory - Calculus of Variations and Optimal Control; Optimization
Edition Specifications:
- Pagination: ix, 116 p. :
Edition Identifiers:
- Google Books ID: 18A2QgAACAAJ
- The Open Library ID: OL1407227M - OL3919595W
- Library of Congress Control Number (LCCN): 93015613
- ISBN-13: 9780387567150 - 9783540567158
- ISBN-10: 3540567151 - 0387567151
- All ISBNs: 3540567151 - 0387567151 - 9780387567150 - 9783540567158
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"Convex Functions, Monotone Operators, and Differentiability" Description:
The Open Library:
The improved and expanded second edition contains expositions of some major results which have been obtained in the years since the 1st edition. Theaffirmative answer by Preiss of the decades old question of whether a Banachspace with an equivalent Gateaux differentiable norm is a weak Asplund space. The startlingly simple proof by Simons of Rockafellar's fundamental maximal monotonicity theorem for subdifferentials of convex functions. The exciting new version of the useful Borwein-Preiss smooth variational principle due to Godefroy, Deville and Zizler. The material is accessible to students who have had a course in Functional Analysis; indeed, the first edition has been used in numerous graduate seminars. Starting with convex functions on the line, it leads to interconnected topics in convexity, differentiability and subdifferentiability of convex functions in Banach spaces, generic continuity of monotone operators, geometry of Banach spaces and the Radon-Nikodym property, convex analysis, variational principles and perturbed optimization. While much of this is classical, streamlined proofs found more recently are given in many instances. There are numerous exercises, many of which form an integral part of the exposition.
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