TY  - BOOK
AU  - Das, Purna Chandra.
TI  - Introduction to nonlinear functional analysis
SN  - 9788192939902
U1  - 515.7248 23
PY  - 2014///
CY  - Andharua
PB  - Institute of Mathematics and Applications
KW  - Nonliner Functional Analysis
N1  - Includes bibliographical references and index; 1. Normed linear spaces--
2. Normed liner spaces (Review continued)
3. Integration in Banach spaces--
4. Gateaux and Frechet derivativs--
5. Higher order derivatives--
6. Some applications--
7. Implicit and inverse functions theorms--
8. Applications--
9. Lagrange multiplier rule--
10. Lagrange multiplier rule (continued)--
11. Degree of a map--
12. Degree of differentiable functions--
13. Degree's dependence on the image point--
14. Degree at a nonregular point--
15. Degree for continuous functions--
16. Properties of degree--
17. Some applications--
18. Borsuk's theorem--
19. Some related results--
20. Schauder's fixed point theorem--
21. Leray-Schauder degree (LS degree)--
22. Properties of LS Degree--
23. Critical points--
24. Extreme value theorem and applications--
25. Some nonlinear equations--
26. Variational method--
27. Ekeland's Variational principle--
28. Some applications--
29. Minimax theorem--
30. Mountain pass theorem--
31. Kuratowski measure of noncompactness--
32. Application of -MNC--

Exrcises--
Appendix A1
Appendix A2
Appendix A3
Appendix A4
References--
Index.



N2  - This books contain the lectures may serve as a basic introduction to nonlinear functional analysis which may be handy in solving some nonlinear problems in other branches of knowledge or may spur the reader to delve deeper in to various aspects which have either not been presented here or have been inadequately treated here.
ER  -