Measures Of Noncompactness In Metric Fixed Point Theory
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Measures Of Noncompactness In Metric Fixed Point Theory
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Author : José María Ayerbe Toledano
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Measures Of Noncompactness In Metric Fixed Point Theory written by José María Ayerbe Toledano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This book is devoted to metric fixed point theory. The goal is to develop, in a self-contained fashion, those results in this theory which involve the use of measures of noncompactness. Some of the well-known fixed point theorems are included with several applications to the theory of differential equations. This book is mainly addressed to graduate students who wish to learn about metric fixed point theory, but it will also be useful to researchers in the area. Most of the results presented here were obtained by the authors over the last ten years and have not previously appeared in any other textbook.
Measures Of Noncompactness In Metric Fixed Point Theory
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Author : J.M. Ayerbe Toledano
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Measures Of Noncompactness In Metric Fixed Point Theory written by J.M. Ayerbe Toledano and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
What is clear and easy to grasp attracts us; complications deter David Hilbert The material presented in this volume is based on discussions conducted in peri odically held seminars by the Nonlinear Functional Analysis research group of the University of Seville. This book is mainly addressed to those working or aspiring to work in the field of measures of noncompactness and metric fixed point theory. Special em phasis is made on the results in metric fixed point theory which were derived from geometric coefficients defined by means of measures of noncompactness and on the relationships between nonlinear operators which are contractive for different measures. Several topics in these notes can be found either in texts on measures of noncompactness (see [AKPRSj, [BG]) or in books on metric fixed point theory (see [GK1], [Sm], [Z]). Many other topics have come from papers where the authors of this volume have published the results of their research over the last ten years. However, as in any work of this type, an effort has been made to revise many proofs and to place many others in a correct setting. Our research was made possible by partial support of the D.G.I.C.y'T. and the Junta de Andalucia.
Measures Of Noncompactness In Metric Fixed Point Theory
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Author : J M Ayerbe Toledano
language : en
Publisher:
Release Date : 1997-09-01
Measures Of Noncompactness In Metric Fixed Point Theory written by J M Ayerbe Toledano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-01 with categories.
Measures Of Noncompactness In Metric Fixed Point Theory
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Author : Jose Maria Ayerbe Toledano
language : en
Publisher:
Release Date : 1991
Measures Of Noncompactness In Metric Fixed Point Theory written by Jose Maria Ayerbe Toledano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Topics In Metric Fixed Point Theory
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Author : Kazimierz Goebel
language : en
Publisher: Cambridge University Press
Release Date : 1990
Topics In Metric Fixed Point Theory written by Kazimierz Goebel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
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.
Handbook Of Metric Fixed Point Theory
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Author : William Kirk
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-30
Handbook Of Metric Fixed Point Theory written by William Kirk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-30 with Mathematics categories.
Preface. 1. Contraction Mappings and Extensions; W.A. Kirk. 2. Examples of Fixed Point Free Mappings; B. Sims. 3. Classical Theory of Nonexpansive Mappings; K. Goebel, W.A. Kirk. 4. Geometrical Background of Metric Fixed Point Theory; S. Prus. 5. Some Moduli and Constants Related to Metric Fixed Point Theory; E.L. Fuster. 6. Ultra-Methods in Metric Fixed Point Theory; M.A. Khamsi, B. Sims. 7. Stability of the Fixed Point Property for Nonexpansive Mappings; J. Garcia-Falset, A. Jiménez-Melado, E. Llorens-Fuster. 8. Metric Fixed Point Results Concerning Measures of Noncompactness; T. Dominguez, M.A. JapÃ3n, G. LÃ3pez. 9. Renormings of l1 and c0 and Fixed Point Properties; P.N. Dowling, C.J. Lennard, B. Turett. 10. Nonexpansive Mappings: Boundary/Inwardness Conditions and Local Theory; W.A. Kirk, C.H. Morales. 11. Rotative Mappings and Mappings with Constant Displacement; W. Kaczor, M. Koter-MÃ3rgowska. 12. Geometric Properties Related to Fixed Point Theory in Some Banach Function Lattices; S. Chen, Y. Cui, H. Hudzik, B. Sims. 13. Introduction to Hyperconvex Spaces; R. Espinola, M.A. Khamsi. 14. Fixed Points of Holomorphic Mappings: A Metric Approach; T. Kuczumow, S. Reich, D. Shoikhet. 15. Fixed Point and Non-Linear Ergodic Theorems for Semigroups of Non-Linear Mappings; A. To-Ming Lau, W. Takahashi. 16. Generic Aspects of Metric Fixed Point Theory; S. Reich, A.J. Zaslavski. 17. Metric Environment of the Topological Fixed Point Theorms; K. Goebel. 18. Order-Theoretic Aspects of Metric Fixed Point Theory; J. Jachymski. 19. Fixed Point and Related Theorems for Set-Valued Mappings; G.X.-Z. Yuan. Index.
Handbook Of Metric Fixed Point Theory
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Author : W.A. Kirk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Handbook Of Metric Fixed Point Theory written by W.A. Kirk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
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.
Advances In Metric Fixed Point Theory And Applications
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Author : Yeol Je Cho
language : en
Publisher: Springer Nature
Release Date : 2021-05-04
Advances In Metric Fixed Point Theory And Applications written by Yeol Je Cho and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-04 with Mathematics categories.
This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(κ) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators. This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.
Fixed Point Theory And Applications
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Author : Yeol Je Cho
language : en
Publisher: Nova Publishers
Release Date : 2007-08
Fixed Point Theory And Applications written by Yeol Je Cho and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08 with Mathematics categories.
This volume deals with new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.
Fixed Point Theory
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Author : V.I. Istratescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Fixed Point Theory written by V.I. Istratescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with Mathematics categories.
Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then, is that they can't see the problem. one day, perhaps you will find the final G. K. Chesterton, The Scandal of Father question. Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.