Fixed Point Theory And Graph Theory

Author : Monther Alfuraidan
Publisher : Academic Press
ISBN 13 : 0128043652
Total Pages : 444 pages
Book Rating : 4.53/5 ( download)

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Download or read book Fixed Point Theory and Graph Theory written by Monther Alfuraidan and published by Academic Press. This book was released on 2016-06-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets. Introduces both metric fixed point and graph theory in terms of their disparate foundations and common application environments Provides a unique integration of otherwise disparate domains that aids both students seeking to understand either area and researchers interested in establishing an integrated research approach Emphasizes solution methods for fixed points in non-linear problems such as variational inequalities, split feasibility, and hierarchical variational inequality problems that is particularly appropriate for engineering and core science applications

Author : Lech Górniewicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401591954
Total Pages : 409 pages
Book Rating : 4.59/5 ( download)

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Download or read book Topological Fixed Point Theory of Multivalued Mappings written by Lech Górniewicz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to give a systematic presentation of results and meth ods which concern the fixed point theory of multivalued mappings and some of its applications. In selecting the material we have restricted ourselves to study ing topological methods in the fixed point theory of multivalued mappings and applications, mainly to differential inclusions. Thus in Chapter III the approximation (on the graph) method in fixed point theory of multi valued mappings is presented. Chapter IV is devoted to the homo logical methods and contains more general results, e. g. , the Lefschetz Fixed Point Theorem, the fixed point index and the topological degree theory. In Chapter V applications to some special problems in fixed point theory are formulated. Then in the last chapter a direct application's to differential inclusions are presented. Note that Chapter I and Chapter II have an auxiliary character, and only results con nected with the Banach Contraction Principle (see Chapter II) are strictly related to topological methods in the fixed point theory. In the last section of our book (see Section 75) we give a bibliographical guide and also signal some further results which are not contained in our monograph. The author thanks several colleagues and my wife Maria who read and com mented on the manuscript. These include J. Andres, A. Buraczewski, G. Gabor, A. Gorka, M. Gorniewicz, S. Park and A. Wieczorek. The author wish to express his gratitude to P. Konstanty for preparing the electronic version of this monograph.

Author : Ravi P. Agarwal
Publisher : Cambridge University Press
ISBN 13 : 1139433792
Total Pages : 182 pages
Book Rating : 4.92/5 ( download)

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Download or read book Fixed Point Theory and Applications written by Ravi P. Agarwal and published by Cambridge University Press. This book was released on 2001-03-22 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type.

Author : Kazimierz Goebel
Publisher : Cambridge University Press
ISBN 13 : 9780521382892
Total Pages : 258 pages
Book Rating : 4.90/5 ( download)

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Download or read book Topics in Metric Fixed Point Theory written by Kazimierz Goebel and published by Cambridge University Press. This book was released on 1990 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.

Author : W.A. Kirk
Publisher : Springer Science & Business Media
ISBN 13 : 9401717486
Total Pages : 702 pages
Book Rating : 4.89/5 ( download)

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Download or read book Handbook of Metric Fixed Point Theory written by W.A. Kirk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. 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. The level of exposition is directed to a wide audience, including students and established researchers.

Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781590331897
Total Pages : 220 pages
Book Rating : 4.93/5 ( download)

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Download or read book Fixed Point Theory and Applications written by Yeol Je Cho and published by Nova Publishers. This book was released on 2002 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory & Applications Volume II

Author : Mudasir Younis
Publisher : Springer Nature
ISBN 13 : 9819995469
Total Pages : 392 pages
Book Rating : 4.62/5 ( download)

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Download or read book Recent Developments in Fixed-Point Theory written by Mudasir Younis and published by Springer Nature. This book was released on with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781594548734
Total Pages : 222 pages
Book Rating : 4.30/5 ( download)

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Download or read book Fixed Point Theory and Applications, Volume 6 written by Yeol Je Cho and published by Nova Publishers. This book was released on 2007 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory & Applications

Author : Carl A. Miller
Publisher :
ISBN 13 : 9781601986641
Total Pages : 81 pages
Book Rating : 4.45/5 ( download)

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Download or read book Evasiveness of Graph Properties and Topological Fixed-Point Theorems written by Carl A. Miller and published by . This book was released on 2013 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evasiveness of Graph Properties and Topological Fixed-Point Theorems provides the reader with an integrated treatment of the underlying proofs in the body of research around the use of topological methods to prove lower bounds on the complexity of graph properties.

Author : Vasile I. Istrățescu
Publisher : D Reidel Publishing Company
ISBN 13 : 9789027712240
Total Pages : 0 pages
Book Rating : 4.47/5 ( download)

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Download or read book Fixed Point Theory written by Vasile I. Istrățescu and published by D Reidel Publishing Company. This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: