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Genericity in nonlinear analysis / Simeon Reich and Alexander J. Zaslavski.

By: Contributor(s): Material type: TextTextSeries: Developments in mathematics ; v 34Publication details: New York : Springer, 2013.Description: xiii, 520 pISBN:
  • 9781461495321 (hard cover : alk. paper)
Subject(s): DDC classification:
  • 23 R347 515.7248
Contents:
1. Introduction -- 2. Fixed Point Results and Convergence of Powers of Operators -- 3. Contractive Mappings -- 4. Dynamical Systems with Convex Lyapunov Functions -- 5. Relatively Nonexpansive Operators with Respect to Bregman Distances -- 6. Infinite Products -- 7. Best Approximation -- 8. Descent Methods -- 9. Set-Valued Mappings -- 10. Minimal Configurations in the Aubry-Mather Theory-- References-- Index.
Summary: This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.7248 R347 (Browse shelf(Opens below)) Available 135724
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Fixed Point Results and Convergence of Powers of Operators --
3. Contractive Mappings --
4. Dynamical Systems with Convex Lyapunov Functions --
5. Relatively Nonexpansive Operators with Respect to Bregman Distances --
6. Infinite Products --
7. Best Approximation --
8. Descent Methods --
9. Set-Valued Mappings --
10. Minimal Configurations in the Aubry-Mather Theory--

References--
Index.

This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory.

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