Topics in Metric Fixed Point Theory Book

Introduction;

1. Preliminaries;
2. Banach's contraction principle;
3. Nonexpansive mappings: introduction;
4. The basic fixed point theorems for nonexpansive mappings;
5. Scaling the convexity of the unit ball;
6. The modulus of convexity and normal structure;
7. Normal structure and smoothness;
8. Conditions involving compactness;
9. Sequential approximation techniques;
10. Weak sequential approximations;
11. Properties of fixed point sets and minimal sets;
12. Special properties of Hilbert space;
13. Applications to accretivity;
14. Nonstandard methods;
15. Set-valued mappings;
16. Uniformly Lipschitzian mappings;
17. Rotative mappings;
18. The theorems of Brouwer and Schauder;
19. Lipschitzian mappings;
20. Minimal displacement;
21. The retraction problem; References.