Topological Fixed-Point Theory in Suitable Banach Algebras with Applications

[bookbestseller]

Topological Fixed-Point Theory in Suitable Banach Algebras with Applications
English | 2025 | ISBN: 9819655412 | 336 Pages | PDF | 3.4 MB
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.

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