An Introduction to Nonlinear Analysis and Fixed Point Theory By Hemant Kumar Pathak
English | PDF,EPUB | 2018 | 845 Pages | ISBN : 9811088659 | 27.18 MB
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, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines.