Fixed Point Theory and Applications, Volume 6

Fixed Point Theory and Applications, Volume 6 PDF Author: Yeol Je Cho
Publisher: Nova Publishers
ISBN: 9781594548734
Category : Mathematics
Languages : en
Pages : 222

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Book Description
Fixed Point Theory & Applications

Fixed Point Theory and Applications, Volume 6

Fixed Point Theory and Applications, Volume 6 PDF Author: Yeol Je Cho
Publisher: Nova Publishers
ISBN: 9781594548734
Category : Mathematics
Languages : en
Pages : 222

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Book Description
Fixed Point Theory & Applications

Fixed Point Theory for Lipschitzian-type Mappings with Applications

Fixed Point Theory for Lipschitzian-type Mappings with Applications PDF Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 0387758186
Category : Mathematics
Languages : en
Pages : 373

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Book Description
In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.

Fixed Point Theory and Applications

Fixed Point Theory and Applications PDF Author: Ravi P. Agarwal
Publisher: Cambridge University Press
ISBN: 1139433792
Category : Mathematics
Languages : en
Pages : 182

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Book Description
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.

Fixed Point Theory and Applications

Fixed Point Theory and Applications PDF Author: Yeol Je Cho
Publisher: Nova Publishers
ISBN: 9781594548772
Category : Mathematics
Languages : en
Pages : 216

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Book Description
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 Theorems with Applications to Economics and Game Theory

Fixed Point Theorems with Applications to Economics and Game Theory PDF Author: Kim C. Border
Publisher: Cambridge University Press
ISBN: 9780521388085
Category : Business & Economics
Languages : en
Pages : 144

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Book Description
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

Fixed Point Theory

Fixed Point Theory PDF Author: Vasile I. Istrățescu
Publisher: D Reidel Publishing Company
ISBN: 9789027712240
Category : Mathematics
Languages : en
Pages : 0

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Book Description


Topics in Fixed Point Theory

Topics in Fixed Point Theory PDF Author: Saleh Almezel
Publisher: Springer Science & Business Media
ISBN: 3319015869
Category : Mathematics
Languages : en
Pages : 316

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Book Description
The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents 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. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular function spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed point problems, and the Ekeland’s variational principle.

Fixed Point Theory

Fixed Point Theory PDF Author: Andrzej Granas
Publisher: Springer Science & Business Media
ISBN: 038721593X
Category : Mathematics
Languages : en
Pages : 706

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Book Description
The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS

Fixed Point Theorems and Applications

Fixed Point Theorems and Applications PDF Author: Vittorino Pata
Publisher: Springer Nature
ISBN: 3030196704
Category : Mathematics
Languages : en
Pages : 171

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Book Description
This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.

Fixed Point Theory and Best Approximation: The KKM-map Principle

Fixed Point Theory and Best Approximation: The KKM-map Principle PDF Author: S.P. Singh
Publisher: Springer Science & Business Media
ISBN: 9401588228
Category : Mathematics
Languages : en
Pages : 231

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Book Description
The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies. Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.