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Download A Study On Fixed Point Theory With Applications

Download A Study On Fixed Point Theory With Applications

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Book Details :
Published on: 2013-09-19
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Original language: English

Fixed Point Theory is an attractive and interesting subject with a large number of applications in various fields of mathematics and other branches of science. This book offers encouragement and empowers readers to embrace the basic history, the basic types of fixed point theories, important theorems and some common selected applications of fixed point theory. Above all, only lucid language is used so that this book will also be beginners friendly. A brief description of the contents is given below : Chapter 1: Introduction : 2 pages Concept of fixed point, a brief history, basic types of the theory. Chapter 2: Topological Fixed Point Theory : 68 pages Introduction and Background : Topological Fixed Point Property, Background on Simplexes and Triangulations, Background in Analysis And Topology, Upper Semi-continuous Multifunctions. The Brower’s Fixed point Theorem : Proof by Non Analytic Methods, Proof by Analytic Methods. Sperner’s Lemma and Brower’s Fixed Point Theorem, Barycentric Coordinates. Generalization : Extension in Infinite Dimensions, Fixed Point Properties for Closed Boundary Convex Sets, Theorems with boundary Conditions Condition on Compactness. Multifunctions and Kakutani’s Theorem, Theory with Boundary Conditions. Applications. Chapter 3 : Metric Fixed Point Theory : 45 pages Introduction : Banach’s Contraction Principle, Extensions of the Contraction Principle, Generalization. Converse of Banach’s Contraction Principle. Metric Fixed Point Theory in Banach Spaces. Metric Fixed Point Theory in Metric Spaces. Applications. Chapter 4 : Order-Theoretic Fixed Point Theory : 17 pages Introduction, Completeness Condition for Posets, Conditionally Complete Posets, Countably Chain-Complete Posets, Chain–Complete Posets. Iterative Fixed Point Theorems, The Tarski–Kantorovitch Fixed Point Theorem, Applications to Functional Equations, The Contraction Mapping Theorem. The Tarski’s Fixed Point Theorems, The Knaster-Tarski’s Theorem, Application. The Abian-Brown Theorem , Application. An extensive bibliography. Journal of Fixed Point Theory and its Applications incl ... The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of ... Engineering Long Shelf Life Multi-layer Biologically ... Although materials and engineered surfaces are broadly utilized in creating assays and devices with wide applications in diagnostics preservation of these immuno ... Journal of Fixed Point Theory and Applications - Springer The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of ... Journal of Inequalities and Applications Home page Journal of Inequalities and Applications is a peer-reviewed open access journal published under the brand SpringerOpen. The aim of this journal is to provide a multi ... Fixed Point -- from Wolfram MathWorld A fixed point is a point that does not change upon application of a map system of differential equations etc. In particular a fixed point of a function f(x) is a ... Game theory - Wikipedia Game theory is included in the JEL classification codes as JEL: C7: Game theory is "the study of mathematical models of conflict and cooperation between intelligent ... Accepted Papers ICML New York City We show how deep learning methods can be applied in the context of crowdsourcing and unsupervised ensemble learning. First we prove that the popular model of Dawid ... handprint : modern color theory (applications) modern color theory (applications) The previous page focused on the conceptual framework of color theory including the three colormaking attributes basic color ... Brouwer fixed-point theorem - Wikipedia To understand the prehistory of Brouwer's fixed point theorem one needs to pass through differential equations. At the end of the 19th century the old problem of the ... AJER Call for paper; American journal of Engineering Research (AJER) is a peer reviewed bimonthly official international journal allowing access to abstracts and
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