A study on fixed point theory (Paperback)

Suranjoy Singh

ISBN 13: 9791041985685

Edit� par Culturea, 2024

Neuf(s) Paperback

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Paperback. Fixed Point Theory is an attractive and interesting subject with a large number of applications in various fields of mathematics and other branches of science. The main intention of writing this book is, as the topic of the book "A Study On Fixed Point Theory And Its Applications" implies, is to give a rough idea of the basic types, some important theorems and a few common applications of Fixed Point Theorey and also, to enhance my career as a mathematician in the field of fixed point theory. The book will serve good for the beginners in the field of fixed point in the similar manner as I was beniffited from the valuable contents provided in the book. In writing this book, the works of standard authors, have been a great help and I am greatly indebted to them. Above all, research papers and articles of eminent researchers and authors helped me a lot while completing this book. Any errors that may appear are, of course, my responsibility. I warmly welcome any suggestion or correction from the valuable readers of this book. Ph. Suranjoy Singh Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N� de r�f. du vendeur 9791041985685

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Fixed Point Theory is an attractive and interesting subject with a large number of applications in various fields of mathematics and other branches of science. The main intention of writing this book is, as the topic of the book "A Study On Fixed Point Theory And Its Applications" implies, is to give a rough idea of the basic types, some important theorems and a few common applications of Fixed Point Theorey and also, to enhance my career as a mathematician in the field of fixed point theory. The book will serve good for the beginners in the field of fixed point in the similar manner as I was beniffited from the valuable contents provided in the book. In writing this book, the works of standard authors, have been a great help and I am greatly indebted to them. Above all, research papers and articles of eminent researchers and authors helped me a lot while completing this book. Any errors that may appear are, of course, my responsibility. I warmly welcome any suggestion or correction from the valuable readers of this book. Ph. Suranjoy Singh

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Titre : A study on fixed point theory (Paperback)
�diteur : Culturea
Date d'�dition : 2024
Reliure : Paperback
Etat : new

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A Study On Fixed Point Theory (Paperback)

Suranjoy Singh

Edit� par Createspace Independent Publishing Platform, 2013

ISBN 10 : 1492245992 ISBN 13 : 9781492245995

Neuf Paperback

impression � la demande

Vendeur : CitiRetail, Stevenage, Royaume-Uni

�valuation du vendeur 5 sur 5 �toiles

Paperback. Etat : new. Paperback. Fixed Point Theory is an attractive and interesting subject with a large number of applications in various fields of mathematics and other branches of science. This book offers encouragement and empowers readers to embrace the basic history, the basic types of fixed point theories, important theorems and some common selected applications of fixed point theory. Above all, only lucid language is used so that this book will also be beginners friendly.A brief description of the contents is given below: Chapter 1: Introduction: 2 pagesConcept of fixed point, a brief history, basic types of the theory.Chapter 2: Topological Fixed Point Theory: 68 pagesIntroduction and Background: Topological Fixed Point Property, Background on Simplexes and Triangulations, Background in Analysis And Topology, Upper Semi-continuous Multifunctions.The Brower's Fixed point Theorem: Proof by Non Analytic Methods, Proof by Analytic Methods. Sperner's Lemma and Brower's Fixed Point Theorem, Barycentric Coordinates. Generalization: Extension in Infinite Dimensions, Fixed Point Properties for Closed Boundary ConvexSets, Theorems with boundary ConditionsCondition on Compactness. Multifunctions and Kakutani's Theorem, Theory with Boundary Conditions.Applications.Chapter 3: Metric Fixed Point Theory: 45 pagesIntroduction: Banach's Contraction Principle, Extensions of the Contraction Principle, Generalization.Converse of Banach's Contraction Principle.Metric Fixed Point Theory in Banach Spaces.Metric Fixed Point Theory in Metric Spaces.Applications.Chapter 4: Order-Theoretic Fixed Point Theory: 17 pages Introduction, Completeness Condition for Posets, Conditionally Complete Posets, Countably Chain-Complete Posets, Chain-Complete Posets.Iterative Fixed Point Theorems, The Tarski-Kantorovitch Fixed Point Theorem, Applications toFunctional Equations, The Contraction Mapping Theorem. The Tarski's Fixed Point Theorems, The Knaster-Tarski's Theorem, Application.The Abian-Brown Theorem, Application.An extensive bibliography. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N� de r�f. du vendeur 9781492245995

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