Nonlinear functional analysis in banach spaces and banach algebras : fixed point theory under weak topology for nonlinear operators and block operator matrices with applications

Description

Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras. The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces and algebras. The authors present several exten ... Read more... Abstract: Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras. The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces and algebras. The authors present several exten Content: Part I: Fixed Point Theory -- Introduction -- Chapter 1: Fundamentals -- Chapter 2: Fixed Point Theory under Weak Topology -- Chapter 3: Fixed Point Theory in Banach Algebras -- Chapter 4: Fixed Point Theory for BOM on Banach Spaces and Banach Algebras -- Part II: Applications in Mathematical Physics and Biology -- Chapter 5: Existence of Solutions for Transport Equations -- Chapter 6: Existence of Solutions for Nonlinear Integral Equations -- Chapter 7: Two-Dimensional Boundary Value Problems.