An Introduction to Nonlinear Analysis and Fixed Point Theory

• Main Author: Pathak, Hemant Kumar (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Analysis.

This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory,...

Table of Contents:

• Chapter 1. Fundamentals
• Chapter 2. Geometry in Banach Spaces and Duality Mappings
• Chapter 3. Differential Calculus in Banach Spaces
• Chapter 4. Monotone Operators, Phi-accretive Operators and Their Generalizations
• Chapter 5. Fixed Point Theorems
• Chapter 6. Degree Theory, K-Set Contractions and Condensing Operators
• Chapter 7. Random Fixed Point Theory and Monotone Operators
• Chapter 8. Applications of Monotone Operator Theory to Differential and Integral Equations
• Chapter 9. Applications of Fixed Point Theorems
• Chapter 10. Applications of Fixed Point Theorems for Multifunction to Integral Inclusions.