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Published by LAP LAMBERT Academic Publishing, 2010
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this book, we introduce some generalized probabilistic structure by extending several concepts of known classical spaces such as Random Space, Ultrametric Space and Hyper Space. In these newly developed probabilistic structure, we prove several fixed point theorem under some generalized contraction conditions. Particularly, a fixed point theorem for iterated function system (IFS) on a precompact probabilistic metric (PM) spaces investigated. In addition, we extend the theory of fixed points for multi-valued contractions in PM spaces and prove several common fixed point theorems and coincidence point theorems. In the case of non existence of fixed point, we study the approximate fixed point with some weak conditions. In chapter 6 we prove a fixed point theorem for self discontinuious mappings on probabilistic normed spaces.Finally, in the last two chapters, we considered the intuitionistic fuzzy metric spaces. We extend the fuzzy quasi-metric spaces to intuitionistic fuzzy quasi-metric spaces. By defining an appropriate contraction condition we proved a fixed point theorem in this space.
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Taschenbuch. Condition: Neu. FIXED POINTS ON PROBABILISTIC AND FUZZY STRUCTURES | FIXED POINT THEORY OF PROBABILISTIC STRUCTURE AND INTUITIONISTIC FUZZY METRIC SPACES | Mohamad Rafi Segi Rahmat | Taschenbuch | 136 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838305004 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu Print on Demand.
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Dhananjay Gopal has a doctorate in Mathematics from Guru Ghasidas University, Bilaspur, India and is currently Associate Professor of Mathematics in Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur (C.G.), Bilaspur, Gujarat, India. He is au.
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Buch. Condition: Neu. Metric Structures and Fixed Point Theory | Dhananjay Gopal (u. a.) | Buch | Einband - fest (Hardcover) | Englisch | 2021 | Chapman and Hall/CRC | EAN 9780367689148 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - It is an indisputable argument that the formulation of metrics (by Fréchet in the early 1900s) opened a new subject in mathematics called non-linear analysis after the appearance of Banach's fixed point theorem. Because the underlying space of this theorem is a metric space, the theory that developed following its publication is known as metric fixed point theory. It is well known that metric fixed point theory provides essential tools for solving problems arising in various branches of mathematics and other sciences such as split feasibility problems, variational inequality problems, non-linear optimization problems, equilibrium problems, selection and matching problems, and problems of proving the existence of solutions of integral and differential equations are closely related to fixed point theory. For this reason, many people over the past seventy years have tried to generalize the definition of metric space and corresponding fixed point theory. This trend still continues. A few questions lying at the heart of the theory remain open and there are many unanswered questions regarding the limits to which the theory may be extended.Metric Structures and Fixed Point Theory provides an extensive understanding and the latest updates on the subject. The book not only shows diversified aspects of popular generalizations of metric spaces such as symmetric, b-metric, w-distance, G-metric, modular metric, probabilistic metric, fuzzy metric, graphical metric and corresponding fixed point theory but also motivates work on existing open problems on the subject. Each of the nine chapters-contributed by various authors-contains an Introduction section which summarizes the material needed to read the chapter independently of the others and contains the necessary background, several examples, and comprehensive literature to comprehend the concepts presented therein. This is helpful for those who want to pursue their research career in metric fixed point theory and its related areas.FeaturesExplores the latest research and developments in fixed point theory on the most popular generalizations of metric spacesDescription of various generalizations of metric spacesVery new topics on fixed point theory in graphical and modular metric spacesEnriched with examples and open problemsThis book serves as a reference for scientific investigators who need to analyze a simple and direct presentation of the fundamentals of the theory of metric fixed points. It may also be used as a text book for postgraduate and research students who are trying to derive future research scope in this area.