1.

Record Nr.

UNINA9911011649403321

Autore

Jeribi Aref

Titolo

Topological Fixed-Point Theory in Suitable Banach Algebras with Applications / / by Aref Jeribi, Najib Kaddachi

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025

ISBN

981-9655-42-0

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (549 pages)

Collana

Infosys Science Foundation Series in Mathematical Sciences, , 2364-4044

Altri autori (Persone)

KaddachiNajib

Disciplina

515.7

Soggetti

Functional analysis

Approximation theory

Operator theory

Integral equations

Functional Analysis

Approximations and Expansions

Operator Theory

Integral Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.