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Complex Dynamics
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Lennart Carleson, Theodore W Gamelin
Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this ...
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Topological Fixed Point Principles for Boundary Value Problems
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Jan Andres, Lech Gorniewicz, Lech Gsrniewicz
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 ...
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Fixed Point Theorems with Applications to Economics and Game Theory
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Kim C Border
One of the problems in economics to which economists have devoted a considerable amount of attention in recent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it must be asked under what circumstances such an equilibrium is possible. The fundamental mathematical tools ...
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Optimal Solution of Nonlinear Equations
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Krzysztof A Sikorski
Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based ...
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Methods of Mathematical Economics: Linear and Nonlinear Programming: Fixed-Point Theorems
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Joel N Franklin
Many advances have taken place in the field of combinatorial algorithms since Methods of Mathematical Economics first appeared two decades ago. Despite these advances and the development of new computing methods, several basic theories and methods remain important today for understanding mathematical programming and fixed-point theorems. In this ...
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Leraya "Schauder Type Alternatives, Complementarity Problems and Variational Inequalities
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George Isac
Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. The study of variational inequalities is another domain of applied mathematics with many applications to the study of certain ...
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Fixed Points & Topological Degree in Nonlinear Analysis
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Jane Cronin
The topological methods based on fixed-point theory and on local topological degree which have been developed by Leray, Schauder, Nirenberg, Cesari and others for the study of nonlinear differential equations are here described in detail, beginning with elementary considerations. The reader is not assumed to have any knowledge of topology beyond ...
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Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture
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Schwartz
An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. It gathers work on the theory of modules over the Steenrod algebra, including ideas on the Segal conjecture, work from the late 1970s by Adams and Wilkerson, and topics in algebraic group ...
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Fixed Point Theory and Applications
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Ravi P Agarwal, Maria Meehan, Donal O'Regan
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. ...
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Theorems of Leray-Schauder Type and Applications
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Raymond Bonnett, O'Regan O'Regan, Donal O'Regan
This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many ...
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Topological Fixed Point Theory of Multivalued Mappings
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Lech Gsrniewicz, Lech Gorniewicz, Lech Ga3rniewicz
This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces. Although the theoretical material was tendentiously selected with respect to ...
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Fixed points
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IU. A. Shashkin
The theory of fixed points finds its roots in the work of Poincare, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, ...
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Fixed Point Theory an Introduction
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by
Vasile I Istratescu
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Homotopy Methods in Topological Fixed and Periodic Points Theory
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Jerzy Jezierski, Waclaw Marzantowicz
This is the first systematic and self-contained textbook on homotopy methods in the study of periodic points of a map. A modern exposition of the classical topological fixed-point theory with a complete set of all the necessary notions as well as new proofs of the Lefschetz-Hopf and Wecken theorems are included. Periodic points are studied through ...
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Handbook of Metric Fixed Point Theory
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William A Kirk, M a Styblinski, B Sims (Editor)
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 ...
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Topics in Metric Fixed Point Theory
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Kazimierz Goebel, W a Kirk
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 ...
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Stability by Fixed Point Theory for Functional Differential Equations
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T A Burton
This is the first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques. Suitable for advanced undergraduates and graduate students, it contains an extensive collection of new and classical examples, all worked in detail and presented in an elementary manner. 2006 edition.
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Knowledge Services Management: Organizing Around Internal Markets
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Peter K Mills, Kevin M Snyder
"Knowledge Services Management" looks at the transformation of the traditional workplace into a quasi-internal market environment where work activities in knowledge services are organized around clusters of similar or complementary knowledge stocks to address particular types of customer-clients priorities. The book explores a new internal market ...
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Computing Equilibria and Fixed Points
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Zaifu Yang, Yang Zaifu Yang
"Computing Equilibria and Fixed Points" is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind such as: to give a comprehensive introduction to fixed point methods and to the definition and construction of Grobner bases; to discuss several interesting applications of these ...
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Fixed Point Theory and Best Approximation: The Kkm-Map Principle
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Sankatha Singh, B Watson, P Srivastava
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 ...
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Fixed Point Theory
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G A Anderson, Andrzej Granas, James Dugundji
'The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between Analysis and Topology, and provides a very fruitful area of interaction between the two. This book contains a clear, detailed and well-organized ...
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Fixed Point Theory for Decomposable Sets
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Andrzej Fryszkowski
Decomposable sets since T. R. Rockafellar in 1968 are one of basic notions in nonlinear analysis, especially in the theory of multifunctions. A subset K of measurable functions is called decomposable if (Q) for all and measurable A. This book attempts to show the present stage of "decomposable analysis" from the point of view of fixed point theory ...
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Fixed Point Theory in Probabilistic Metric Spaces
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by
Olga Hadzic, Endre Pap
Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research. A primary aim of this monograph is to stimulate interest among scientists and students in this fascinating field. The text is self-contained for a reader with a modest knowledge of the ...
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Nonstandard Methods in Fixed Point Theory
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Asuman G Aksoy
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Homotopy methods and global convergence
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B Curtis Eaves (Editor)
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