Topological Fixed-Point Theory in Suitable Banach Algebras with Applications
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Beschreibung
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.
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.
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
Autor*in
Aref Jeribi
Themen in »Topological Fixed-Point Theory in Suitable Banach Algebras with Applications«
Banach algebras countably condensing multimap De Blasi measure of weak noncompactness multi-valued mappings fixed point theory nonlinear operators weakly sequentially closed graph functional integral equation differential inclusions weakly semi-closed at the origin