Modern Topics In Metrical Fixed Point Theory - Hardcover

Turinici, Mihai

 
9789819807260: Modern Topics In Metrical Fixed Point Theory
Hardcover
ISBN 10: 9819807263 ISBN 13: 9789819807260
Verlag: WSPC, 2025

Inhaltsangabe

Metrical Fixed Point Theory, originating from the 1922 Banach Fixed Point Theorem, is one of the most dynamic areas within Operator Equations Theory. This book aims to discuss the foundational aspects of this theory, focusing on questions of existence, uniqueness, and approximation in operator equations — whether explicit or implicit, anticipative or non-anticipative — across standard, ordered, and relational metric spaces. Key themes include implicit methods for analyzing metrical contractions, factorial techniques for reducing coincidence point problems to standard fixed point ones, homotopical fixed point results in gauge spaces with ordered metric space parameters, and constant class reduction of PPF-dependent fixed point results. The book is structured into four chapters. Chapter 1 provides an overview of essential preliminary concepts. Chapter 2 delves into various contraction classes within bi-relational, local Branciari, and ordered metric spaces. Chapter 3 applies maximal techniques to address the discussed questions, and Chapter 4 explores additional topics, including contractive-type conditions derived from self and non-self maps. Through this structure, the book offers a comprehensive view of the core aspects and applications of Metrical Fixed Point Theory.

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Verlag
WSPC
Erscheinungsdatum
2025
Sprache
Englisch
ISBN 10 
9819807263
ISBN 13 
9789819807260
Einband
Gebundene Ausgabe
Anzahl der Seiten
548
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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