2 edition of Fixed point theory in ordered sets and applications found in the catalog.
Fixed point theory in ordered sets and applications
Includes bibliographical references and index.
|Statement||Siegfried Carl, Seppo Heikkilä|
|LC Classifications||QA269 .C35 2011|
|The Physical Object|
|Pagination||xiii, 477 p. :|
|Number of Pages||477|
|LC Control Number||2011282663|
Conference on Fixed Point Theory University of California, Fixed point theory and its applications: proceedings of a conference held at the International Congress of Mathematicians, August , I R.F. Brown, editor. p. em. Define ordered set. ordered set synonyms, ordered set pronunciation, ordered set translation, English dictionary definition of ordered set. n logic maths a sequence of elements that is distinguished from the other sequences of the same element by the order of the elements. Keywords: Coupled fixed point, mixed monotone property, well-ordered.
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 s: 1. In this work, we investigate the existence of the fixed points of a monotone asymptotic pointwise nonexpansive mapping defined in a modular function space. Our result extends the fixed point result of Khamsi and by: 1. This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered .
A Brief Introduction of Fixed Point Theorey Preliminaries The presence or absence of fixed point is an intrinsic property of a function. However many necessary and/or sufficient conditions for the existence of such points involve a mixture of algebraic order theoretic or topological properties of File Size: KB. Welcome to the future Book on Fixed Point Theory and Applications on the Web. I would like to ask anyone who is interested to be part of this wonderful project. The idea is very simple: Choose one of the following topics and write down something in Latex, mail it to me and I . The topics covered include both topological fixed point theory from both the algebraic and geometric viewpoints, the fixed point theory of nonlinear operators on normed linear spaces and its applications, and the study of solutions of ordinary and partial differential equations by fixed point theory methods.
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SyntaxTextGen not activatedPdf. Nieto, R.R. Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta. Math. Sinica (in press) Google Scholar Cited by: Farmer, Matthew Ray, Applications in Download pdf Point Theory.
Master of Arts (Mathematics), December15 pp., references, 2 titles. Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point : Matthew Ray Farmer.FIXED POINT THEOREMS IN ORDERED SETS AND APPLICATIONS ebook.
Application In this section we study the existence ebook uniqueness of the bounded solution of a boundary value problem. The proof is based on the Tarski theorem concerning the existence of the ﬂxed points in complete lattice.
We consider the following problem () 8.