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Friday, July 24, 2020 | History

3 edition of An Introduction to Metric Spaces and Fixed Point Theory found in the catalog.

An Introduction to Metric Spaces and Fixed Point Theory

by Mohamed A. Khamsi

  • 97 Want to read
  • 8 Currently reading

Published by Wiley-Interscience .
Written in English


The Physical Object
Number of Pages320
ID Numbers
Open LibraryOL7617001M
ISBN 100471418250
ISBN 109780471418252

Farmer, Matthew Ray, Applications in Fixed Point Theory. Master of Arts (Mathematics), December , 15 pp., references, 2 titles. Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point : Matthew Ray Farmer.   Modular function spaces are a special case of the theory of modular vector spaces introduced by Nakano [ 13 ]. Modular metric spaces were introduced in [ 2, 3 ]. Fixed point theory in modular metric spaces was studied by Abdou and Khamsi [ 1 ]. Their approach was fundamentally different from the one studied in [ 2, 3 ].Cited by: 2.

  As an application we prove Picard’s theorem. We have proved Picard’s theorem without metric spaces in. The proof we present here is similar, but the proof goes a lot smoother by using metric space concepts and the fixed point theorem. For more examples on using Picard’s theorem see. Let \((X,d)\) and \((X',d')\) be metric spaces. On Some Topological Properties of Semi-Metric Spaces Related to Fixed-Point Theory Ivan D. Arand-elovi´c University of Belgrade - Faculty of Mechanical Engineering Kraljice Mar Beograd, Serbia [email protected] Dojˇcin S. Petkovi´c University of Priˇstina - Cited by: 1.

In metric fixed point theory, we study results that involve properties of an essentially isometric nature. The division between the metric fixed point theory and the more general topological theory is often a vague one. The use of successive approximations to establish the existence and uniqueness of solutions is the origin of the metric theory. Click Download or Read Online button to get metric space book now. This site is like a library, Use search box in the widget to get ebook that you want. An introduction to metric spaces for those interested in the fixed point and convergence of convex fuzzy soft metric space. Using these all we proved fixed point theorem on convex fuzzy.


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An Introduction to Metric Spaces and Fixed Point Theory by Mohamed A. Khamsi Download PDF EPUB FB2

An Introduction to Metric Spaces and Fixed Point Theory presents a highly self-contained treatment of the subject that is accessible for students and researchers from diverse mathematical backgrounds, including those who may have had little training in mathematics beyond by: Author Bios. An Introduction to Metric Spaces and Fixed Point Theory includes an extensive bibliography and an appendix which provides a complete summary of the concepts of set theory, including Zorn's Lemma, Tychonoff's Theorem, Zermelo's Theorem, and transfinite induction.

An Introduction to Metric Spaces and Fixed Point Theory includes an extensive bibliography and an appendix which provides a complete summary of the concepts of set theory, including Zorn's Lemma, Tychonoff's Theorem, Zermelo's Theorem, and transfinite induction.

About the author. An Introduction to Metric Spaces and Fixed Point Theory includes an extensive bibliography and an appendix which provides a complete summary of the concepts of set theory, including Zorn's Lemma, Tychonoff's Theorem, Zermelo's Theorem, and transfinite induction.

An Introduction to Metric Spaces and Fixed Point Theory | Mohamed A. Khamsi, William A. Kirk | download | B–OK. Download books for free. Find books. An interesting and fruitful generalization of the Banach Contraction Principle (BCP) on a complete metric space is the Caristi fixed point theorem (Caristi's FPT) [10].

Caristi FPT is equivalent to the Ekeland's variational principle and Takahashi's nonconvex minimization theorem [11,12]. Metric Spaces Introduction 3 The real numbers R 3 Continuous mappings in E 5 The triangle inequality in E 7 The triangle inequality in R™ 8 Brouwer's Fixed Point Theorem 10 Exercises 11 Metric Spaces 13 The metric topology 15 Examples of metric spaces 19 Completeness 26 Separability and connectedness “The authors of this interesting monograph are concerned with purely metric aspects of fixed point theory.

this book can serve not only as a timely introduction to metric fixed point theory, but also as a catalyst for further research in this fertile area.” (Simeon Reich. 6 CHAPTER 1. INTRODUCTION TO METRIC FIXED POINT THEORY.

It is immediate from the above deflnition that if d(x;y) 6= d(y;z), then we have d(x;z) = maxfd(x;y);d(y;z)g, i.e. each three points are vertices of an isoscele triangle. The textbook is decomposed in to seven chapters which contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications.

Some of the noteworthy features of this book are. Recent Advances on Metric Fixed Point Theory This book consists of the Proceedings of the International Workshop on Metric Fixed Point Theory which was held at The University of Seville, September, For more information, please contact Professor T.

Dominguez Benavides via email at. Including Fixed Point Theory and Set-valued Maps. Author: Qamrul Hasan Ansari. Publisher: Alpha Science International Limited ISBN: Category: Science Page: View: DOWNLOAD NOW» METRIC SPACES is intended for undergraduate students offering a course of metric spaces and post graduate students offering a course of nonlinear analysis or fixed point theory.

Fixed point theory is a fascinating subject, with an enormous number of applications in various fields of mathematics. Maybe due to this transversal character, I have always experienced some difficulties to find a book (unless expressly devoted to fixed points) treating the argument in a unitary fashion.

In most cases, I noticedFile Size: KB. A Brief Introduction of Fixed Point Theorey Preliminaries The presence or absence of fixed point is an intrinsic property of a function. However many necessary and/or sufficient conditions for the existence of such points involve a mixture of algebraic order theoretic File Size: KB.

FIXED POINT THEOREM IN ORDERED METRIC “The book, including many contributions of its authors, provides an accessible and up-to-date source of information for researchers in fixed point theory in metric spaces and in various of their generalizations, for mappings satisfying some very general conditions.” (S.

Cobzaş, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 61 (3), ). In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms.

Results of this kind are amongst the most generally useful in mathematics. Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research.

A primary aim of this monograph is to stimulate interest among scientists and students in this fascinating by:   The Istanbul conference was the 11th in a series of conferences entitled ‘Fixed Point Theory and its Applications’.

This series is devoted mainly to metric and functional analytic aspects of the theory. It is noteworthy that the inaugural conference in this series was 26 years by: 3.

The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. Keywords: fixed point; generalized metric space; rectangular metric space; b-metric space MSC: Primary 47H10; Secondary 54H25 1.

Introduction Fixed points theory has become an important field in mathematics due to its variety of applications in science, economics and game theory. Brouwer’s fixed-point theorem states that any continuousCited by: 2.Introduction This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems.According to fixed point theory of metric spaces, we divide contractions into different type in the setting of -metrics.

Then Theorem 16 and Corollary 18 belong to Banach type, Corollaries 19–24 Kannan type [17], Theorem 25 Browder type [18], and Theorem 27 Choudhury type.

To some extent, our results unify : Dingwei Zheng.