TY  - BOOK
AU  - Shapiro,Joel H.
TI  - Fixed-point farrago
T2  - Universitext 
SN  - 9783319279763
U1  - 515.7248 23
PY  - 2016///
CY  - Switzerland : 
PB  - Springer
KW  - Fixed point theory
N1  - 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
N2  - 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
ER  -