Fixed Point Theory and Graph Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fixed Point Theory and Graph Theory write by Monther Alfuraidan. This book was released on 2016-06-20. Fixed Point Theory and Graph Theory available in PDF, EPUB and Kindle. 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
Evasiveness of Graph Properties and Topological Fixed-Point Theorems
Evasiveness of Graph Properties and Topological Fixed-Point Theorems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evasiveness of Graph Properties and Topological Fixed-Point Theorems write by Carl A. Miller. This book was released on 2013. Evasiveness of Graph Properties and Topological Fixed-Point Theorems available in PDF, EPUB and Kindle. 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.
Topological Fixed Point Theory of Multivalued Mappings
Topological Fixed Point Theory of Multivalued Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Fixed Point Theory of Multivalued Mappings write by Lech Górniewicz. This book was released on 2013-11-11. Topological Fixed Point Theory of Multivalued Mappings available in PDF, EPUB and Kindle. 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.
Fixed Point Theory and Applications
Fixed Point Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fixed Point Theory and Applications write by Ravi P. Agarwal. This book was released on 2001-03-22. Fixed Point Theory and Applications available in PDF, EPUB and Kindle. 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.
Topics in Metric Fixed Point Theory
Topics in Metric Fixed Point Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Metric Fixed Point Theory write by Kazimierz Goebel. This book was released on 1990. Topics in Metric Fixed Point Theory available in PDF, EPUB and Kindle. 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.
