Nonlinear Functional Analysis in Banach Spaces and Banach Algebras - Jeribi, Aref

Résumé :

This is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and algebras. The authors present several extensions of Schauder?s and Krasnosel?skii?s fixed point theorems to the class of weakly compact operators acting on Banach spaces and algebras. They also address under which conditions a 2?2 block operator matrix with single- and multi-valued nonlinear entries will have a fixed point. In addition, the book describes applications of fixed point theory to diverse equations.

Biographie:

Aref Jeribi is a professor in mathematics at the University of Sfax.

Bilel Krichen is an associate professor in applied mathematics at the University of Sfax.

Sommaire:

Fixed Point Theory: Fundamentals. Fixed Point Theory under Weak Topology. Fixed Point Theory in Banach Algebras. Fixed Point Theory for BOM on Banach Spaces and Banach Algebras. Applications in Mathematical Physics and Biology: Existence of Solutions for Transport Equations. Exsistence of Solutions for Nonlinear Integral Equations. Two-Dimensional Boundary Value Problems.