Fixed-point farrago / Joel H. Shapiro.
Material type:
TextSeries: UniversitextPublication details: Switzerland : Springer, 2016.Description: xiv, 221 pages : illustrations ; 24 cmISBN: - 9783319279763
- 515.7248 23 Sh529
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.7248 Sh529 (Browse shelf(Opens below)) | Available | 137685 |
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| 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 | 515.7248 V131 Variational methods for the study of nonlinear operators | 515.7248 Z63 Variational, topological, and partial order methods with their applications / |
Includes bibliographical references and index.
1. From Newton to Google.-
2. Brouwer in Dimension Two.-
3. Contraction Mappings.-
4. Brouwer in Higher Dimensions.-
5. Nash Equilibrium.-
6. Nash's "one-page proof".-
7. The Schauder Fixed-Point Theorem.-
8. The Invariant Subspace Problem.-
9. The Markov-Kakutani Theorem.-
10. The Meaning of Means.-
11. Paradoxical Decompositions.-
12. Fixed Points for Non-commuting Map Families.-
13. Beyond Markov-Kakutani.-
Appendices.
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication.
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