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Author : Wojciech Kryszewski
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.3/5 (121 download)
Download or read book Topological and Approximation Methods of Degree Theory of Set-valued Maps written by Wojciech Kryszewski and published by . This book was released on 1994 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enayet U Tarafdar
Publisher : World Scientific
ISBN 13 : 9814476218
Total Pages : 627 pages
Book Rating : 4.8/5 (144 download)
Download or read book Topological Methods For Set-valued Nonlinear Analysis written by Enayet U Tarafdar and published by World Scientific. This book was released on 2008-02-22 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Author : Lech Górniewicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401591954
Total Pages : 409 pages
Book Rating : 4.4/5 (15 download)
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 : Enayet Ullah Tarafdar
Publisher : World Scientific
ISBN 13 : 9812704671
Total Pages : 627 pages
Book Rating : 4.8/5 (127 download)
Download or read book Topological Methods for Set-valued Nonlinear Analysis written by Enayet Ullah Tarafdar and published by World Scientific. This book was released on 2008 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Author : Robert F. Brown
Publisher : Springer Science & Business Media
ISBN 13 : 9781402032219
Total Pages : 990 pages
Book Rating : 4.0/5 (322 download)
Download or read book Handbook of Topological Fixed Point Theory written by Robert F. Brown and published by Springer Science & Business Media. This book was released on 2005-07-21 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.
Author : Martin Väth
Publisher : Walter de Gruyter
ISBN 13 : 3110277336
Total Pages : 500 pages
Book Rating : 4.1/5 (12 download)
Download or read book Topological Analysis written by Martin Väth and published by Walter de Gruyter. This book was released on 2012-05-29 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps. Thus, it can be used as additional material in basic courses on such topics. The main intention, however, is to provide also additional information on some fine points which are usually not discussed in such introductory courses. The selection of the topics is mainly motivated by the requirements for degree theory which is presented in various variants, starting from the elementary Brouwer degree (in Euclidean spaces and on manifolds) with several of its famous classical consequences, up to a general degree theory for function triples which applies for a large class of problems in a natural manner. Although it has been known to specialists that, in principle, such a general degree theory must exist, this is the first monograph in which the corresponding theory is developed in detail.
Author : Valeri Obukhovskii
Publisher : World Scientific
ISBN 13 : 9811220239
Total Pages : 221 pages
Book Rating : 4.8/5 (112 download)
Download or read book Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications written by Valeri Obukhovskii and published by World Scientific. This book was released on 2020-04-04 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
Author : Smaïl Djebali
Publisher : Walter de Gruyter
ISBN 13 : 3110293560
Total Pages : 474 pages
Book Rating : 4.1/5 (12 download)
Download or read book Solution Sets for Differential Equations and Inclusions written by Smaïl Djebali and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail. The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications.
Author : Mikhail I. Kamenskii
Publisher : Walter de Gruyter
ISBN 13 : 3110870894
Total Pages : 245 pages
Book Rating : 4.1/5 (18 download)
Download or read book Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces written by Mikhail I. Kamenskii and published by Walter de Gruyter. This book was released on 2011-07-20 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
Author :
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.5/5 (445 download)
Download or read book Dissertationes mathematicae written by and published by . This book was released on 1998 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Brokate
Publisher : CRC Press
ISBN 13 : 1000658384
Total Pages : 360 pages
Book Rating : 4.0/5 (6 download)
Download or read book Functional Analysis with Current Applications in Science, Technology and Industry written by Martin Brokate and published by CRC Press. This book was released on 2021-02-28 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of a conference on functional analysis and its applications, which took place in India during December 1996. Topics include topological vector spaces, Banach algebras, meromorphic functions, partial differential equations, variational equations and inequalities, optimization, wavelets, elastroplasticity, numerical integration, fractal image compression, reservoir simulation, forest management, and industrial maths.
Author : Lech Górniewicz
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.E/5 ( download)
Download or read book Juliusz Schauder Center Winter School on Methods in Multivalued Analysis written by Lech Górniewicz and published by . This book was released on 2006 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topological Methods in Nonlinear Analysis written by and published by . This book was released on 2008 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discussiones Mathematicae written by and published by . This book was released on 1995 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sankatha Prasad Singh
Publisher : American Mathematical Soc.
ISBN 13 : 0821850237
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topological Methods in Nonlinear Functional Analysis written by Sankatha Prasad Singh and published by American Mathematical Soc.. This book was released on 1983 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the session on Fixed Point Theory and Applications held at the University of Toronto, August 21-26, 1982. This work presents theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasi-nonexpansive mappings.
Author : J. Andres
Publisher : Springer Science & Business Media
ISBN 13 : 9401704074
Total Pages : 771 pages
Book Rating : 4.4/5 (17 download)
Download or read book Topological Fixed Point Principles for Boundary Value Problems written by J. Andres and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters.
Author : Pavel Drabek
Publisher : CRC Press
ISBN 13 : 9780582309210
Total Pages : 172 pages
Book Rating : 4.3/5 (92 download)
Download or read book Topological and Variational Methods for Nonlinear Boundary Value Problems written by Pavel Drabek and published by CRC Press. This book was released on 1997-04-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.
