Topological Fixed-Point Theory in Suitable Banach Algebras with Applications (Infosys Science Foundation Series in Mathematical Sciences)

Jeribi, Aref/ Kaddachi, Najib

Springer Nature Switzerland AG（2025/06発売）

• 製本 Hardcover:ハードカバー版／ページ数 295 p.
• 言語 ENG
• 商品コード 9789819655410

Full Description

This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs. Its scope extends to a broad range of equations, encompassing nonlinear biological models as well as two-dimensional boundary value problems associated with burgeoning cell populations and functional systems of differential and integral inclusions. The book systematically introduces the principles of topological fixed-point theory, offering insights into various classes of both single-valued and multi-valued maps. The overarching goal is to disseminate key techniques and outcomes derived from fixed-point theory, with a specific emphasis on its application to both single-valued and multi-valued mappings within the framework of Banach algebras.

Contents

Topological Structures.- Fixed-Point Theory in Suitable Banach Algebras.- Fixed-Point Theory for Block Operator Matrices.- Nonlinear One-Dimensional Boundary-Value Problems.- Two-Dimensional Boundary-Value Problems.- Existence Theory of Critical-Type of Fixed Point.- Two-Dimensional Value Problems for Differential Inclusion.