Fixed Point Theory and Applications, Volume 6
Author: Yeol Je Cho
Publisher: Nova Publishers
Published: 2007
Total Pages: 222
ISBN-13: 9781594548734
DOWNLOAD EBOOKFixed Point Theory & Applications
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Fixed Point Theory for Lipschitzian-type Mappings with Applications
Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
Published: 2009-06-12
Total Pages: 373
ISBN-13: 0387758186
DOWNLOAD EBOOKIn 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 Theorems with Applications to Economics and Game Theory
Author: Kim C. Border
Publisher: Cambridge University Press
Published: 1985
Total Pages: 144
ISBN-13: 9780521388085
DOWNLOAD EBOOKThis book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Fixed Point Theorems and Applications
Author: Vittorino Pata
Publisher: Springer Nature
Published: 2019-09-22
Total Pages: 171
ISBN-13: 3030196704
DOWNLOAD EBOOKThis 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 Applications
Author: Ravi P. Agarwal
Publisher: Cambridge University Press
Published: 2001-03-22
Total Pages: 182
ISBN-13: 1139433792
DOWNLOAD EBOOKThis 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
Author: Andrzej Granas
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 706
ISBN-13: 038721593X
DOWNLOAD EBOOKThe 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
Topics in Fixed Point Theory
Author: Saleh Almezel
Publisher: Springer Science & Business Media
Published: 2013-10-23
Total Pages: 316
ISBN-13: 3319015869
DOWNLOAD EBOOKThe 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 and Applications
Author: Yeol Je Cho
Publisher: Nova Publishers
Published: 2007-08
Total Pages: 216
ISBN-13: 9781594548772
DOWNLOAD EBOOKThis 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.
Advanced Fixed Point Theory for Economics
Author: Andrew McLennan
Publisher: Springer
Published: 2018-07-03
Total Pages: 441
ISBN-13: 9811307105
DOWNLOAD EBOOKThis book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines.
Metric Fixed Point Theory
Author: Pradip Debnath
Publisher: Springer Nature
Published: 2022-01-04
Total Pages: 356
ISBN-13: 9811648964
DOWNLOAD EBOOKThis book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces as well as study of variational inequalities and variational control problems have been included.
