Genericity in nonlinear analysis / Simeon Reich and Alexander J. Zaslavski.
Material type:
TextSeries: Developments in mathematics ; v 34Publication details: New York : Springer, 2013.Description: xiii, 520 pISBN: - 9781461495321 (hard cover : alk. paper)
- 23 R347 515.7248
| 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 |
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| 515.7248 N279 Nonlinear functional analysis and its applications | 515.7248 P337 Nonlinear evolution operators and semigroups | 515.7248 P644 Eigenfunction branches of nonlinear operators, and their bifurcations | 515.7248 R347 Genericity in nonlinear analysis / | 515.7248 Sch399N Nonlinear functional analysis | 515.7248 Sh529 Fixed-point farrago / | 515.7248 Sh532 Fixed points |
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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