A Fixed-Point Farrago
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 sophist...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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
- A. Advanced Calculus
- B. Compact Metric Spaces
- C. Convex Sets and Normed Spaces
- D. Euclidean Isometries
- E. A Little Group Theory, a Little Set Theory
- References
- Index
- List of Symbols.