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Topology and Approximate Fixed Points
Af: Donal O'Regan, Afif Ben Amar
Engelsk
Bogcover for Topology and Approximate Fixed Points af Donal O'Regan, Afif Ben Amar, 9783030922061
Specifikationer
Sprog:
Engelsk
Sider:
251
ISBN-13:
9783030922061
Indbinding:
Paperback
ISBN-10:
3030922065
Kategori:
Udg. Dato:
27 jan 2023
Størrelse i cm:
23,5 x 15,5
Forlag:
Oplagsdato:
27 jan 2023
Forfatter(e):
Genre:

Topology and Approximate Fixed Points

Af: Donal O'Regan, Afif Ben Amar
Engelsk
Format:
Bog beskrivelse
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 are weak 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 point theory.

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Specifikationer
Sprog:
Engelsk
Sider:
251
ISBN-13:
9783030922061
Indbinding:
Paperback
ISBN-10:
3030922065
Kategori:
Udg. Dato:
27 jan 2023
Størrelse i cm:
23,5 x 15,5
Forlag:
Oplagsdato:
27 jan 2023
Forfatter(e):
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