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- PublisherSpringer
- Publication date2022
- ISBN 10 3030922030
- ISBN 13 9783030922030
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages264
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Topology and Approximate Fixed Points (Developments in Mathematics, 71)
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Topology and Approximate Fixed Points
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Topology and Approximate Fixed Points
Published by
Springer International Publishing Jan 2022, 2022
ISBN 10: 3030922030
ISBN 13: 9783030922030
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory.This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces-and fundamental properties of their topologies-are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included areweak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak\* topology of its dual, and the Fréchet-Urysohn property.The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies.By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed pointtheory. 268 pp. Englisch. Seller Inventory # 9783030922030
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Topology and Approximate Fixed Points
Published by
Springer International Publishing, 2022
ISBN 10: 3030922030
ISBN 13: 9783030922030
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Explores in detail approximate fixed point theory in different classes of topological spaces Covers weak topologies and their properties, in particular sequential properties of the weak topologyProvides appropriate background to those seeki. Seller Inventory # 523473579
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Topology and Approximate Fixed Points
Published by
Springer International Publishing, 2022
ISBN 10: 3030922030
ISBN 13: 9783030922030
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Seller: AHA-BUCH GmbH, Einbeck, Germany
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory.This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces-and fundamental properties of their topologies-are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included areweak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak\* topology of its dual, and the Fréchet-Urysohn property.The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies.By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed pointtheory. Seller Inventory # 9783030922030
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