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.
Les mer
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.
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.
Les mer
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.
Les mer
Discusses important tools in nonlinear functional analysis, including the measure of weak noncompactness Introduces fixed-point theorems for the product of three operators in Banach algebras Formulates applications to some special problems in fixed-point theory
Les mer
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9789819655410
Publisert
2025-06-16
Utgiver
Vendor
Springer Nature Switzerland AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Biographical note

Aref Jeribi is Professor in the Department of Mathematics, University of Sfax, Tunisia. He completed his habilitation of mathematics and applications at the University of Sfax, Tunisia, in 2002, and defended his Ph.D. thesis at the University of Corsica Pasquale Paoli, France, in 1998. His research interests include spectral theory, matrix operators, transport theory, Gribov operator, Bargmann space, fixed-point theory, Riesz basis and linear relations. He is author/co-author of 11 books and has published 229 research articles in reputed journals and conference proceedings.

Najib Kaddachi is Assistant Professor in the Department of Mathematics, Faculty of Economics and Management, University of Sfax, Tunisia. He completed his habilitation of mathematics and applications in 2021, and defended his Ph.D. thesis, in 2015, at the University of Sfax, Tunisia. His research interests lie in several areas of pure and applied mathematics, ordinary and partial differential equations, integral and differential inclusion, fixed-point theory, Banach algebra, functional analysis and operator theory.