Fixed point theorems in metric spaces
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Fixed point theorems in metric spaces and their applications II by MiklГіs HegedЕ±s

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Published by Dept. of Mathematics, Karl Marx University of Economics in Budapest .
Written in English

Subjects:

  • Fixed point theory.,
  • Metric spaces.

Book details:

Edition Notes

Statementby Miklós Hegedüs.
SeriesDM [report] - Dept. of Mathematics, Karl Marx University of Economics -- 1975-1, DM (Series) -- 75-1.
The Physical Object
Pagination36 p. ;
Number of Pages36
ID Numbers
Open LibraryOL22384456M

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The book is a valuable resource for a wide audience, including graduate students and researchers. Keywords Banach Contraction Principle Ran-Reurings Fixed Point Theorem Contractive Mappings Cyclic Contractions Branciari Metric Spaces Implicit Contraction JS-Metric Spaces Bernstein Polynomial. Recent Advances on Metric Fixed Point Theory This book consists of the Proceedings of the International Workshop on Metric Fixed Point Theory which was held at The University of Seville, September, For more information, please contact Professor T. Dominguez Benavides via email at . 1. FIXED POINT THEOREMS Fixed point theorems concern maps f of a set X into itself that, under certain conditions, admit a fixed point, that is, a point x∈ X such that f(x) = x. The knowledge of the existence of fixed points has relevant applications in many branches of analysis and Size: KB. J. Fixed Point Theory Appl. DOI /s Fixed point theorems on soft metric spaces. Hasan Hosseinzadeh. 1 Fixed point theorems on soft metric spaces. Proo f.

  In this chapter, we study the fixed point theory in fuzzy metric spaces. This subject is very important in fuzzy nonlinear operator theory. In Section , we define weak compatible mappings in fuzzy metric spaces and prove some common fixed point theorems for Author: Yeol Je Cho, Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.   In , the fixed point theory in modular function spaces was initiated by Khamsi, Kozlowski, and Reich [].Modular function spaces are a special case of the theory of modular vector spaces introduced by Nakano [].Modular metric spaces were introduced in [2, 3].Fixed point theory in modular metric spaces was studied by Abdou and Khamsi [].Their approach was fundamentally Cited by: 2. 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. Brouwer's Fixed Point Theorem Exercises 2 Metric Spaces The metric topology Examples of metric spaces Completeness Separability and connectedness Metric convexity and convexity structures Exercises 3 Metric Contraction Principles Banach's Contraction Principle

The book will be useful to anyone who wishes to write a thesis on some aspect of fixed point theory in spaces .” (S. Swaminathan, Mathematical Reviews, December, ) “This self-contained book provides the first systematic presentation of fixed point theory in G-metric spaces .Manufacturer: Springer. In Theorem 1 of the paper [V. Pata, A fixed point theorem in metric spaces, J. Fixed Point Theory Appl., 10 (), ] it is proved that Picard's iterates for a function converge to a fixed Author: Vittorino Pata. The article proves that fixed point theorems in the framework of cone metric spaces over a topological left module are more effective and more fertile than standard results presented in cone metric spaces over a Banach algebra. Full article. The textbook is decomposed in to seven chapters which contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book are.