Nonlinear Functional Analysis

Rajendra Akerkar
Chh. Shahu Central Institute of Business Education and Research, Kolhapur, India


ISBN-8129701189


Adopted in Many University Courses  


Narosa Publishing House
Distributed worldwide by American Mathematical Society
1999; 157 pp; softcover
ISBN-10: 81-7319-230-8
ISBN-13: 978-81-7319-230-2

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This book presents background for the solution of nonlinear equations in Banach spaces. It contains basic techniques in nonlinear analysis and also touches upon today's research. The book deals with recent topics, such as measures on non-compactness, topological degree, and bifurcation theory. It can be used as a text and as a reference source for students and researchers.


Readership

Graduate students and researchers working in functional analysis.

Copyright ©1999 All content
Table of Contents

Preface
  1. Contraction
  2. Differential Calculus in Banach Spaces
  3. Newton’s Method
  4. The Implicit Function Theorem
  5. Fixed Point Theorems
  6. Set Contractions and Darbo’s Fixed Point Theorem
  7. The Topological Degree
  8. Bifurcation Theory
  9. Exercises and Hints
References
Index