2 edition of **Fixed point theorems in metric spaces** found in the catalog.

- 366 Want to read
- 37 Currently reading

Published
**1975** by Dept. of Mathematics, Karl Marx University of Economics in Budapest .

Written in

- Fixed point theory.,
- Metric spaces.

**Edition Notes**

Statement | by Miklós Hegedüs. |

Series | DM [report] - Dept. of Mathematics, Karl Marx University of Economics -- 1975-1, DM (Series) -- 75-1. |

The Physical Object | |
---|---|

Pagination | 36 p. ; |

Number of Pages | 36 |

ID Numbers | |

Open Library | OL22384456M |

Fixed Point Theory and Graph Theory. provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. In this work, we initiate the metric ﬁxed point theory in modular vector spaces under Nakano formulation. In particular, we establish an analogue to Banach contraction principle, Browder and Gohde ﬁxed point theorems for nonexpansive mappings in¨ the modular sense. In , Khan et al. [3] established some fixed point theorems in complete and compact metric spaces by using altering distance functions. In , Gordji et al. [2] described the notion of orthogonal set and orthogonal metric spaces.

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Subsequently, many authors studied the fixed point theory in the setting of complete -metric spaces and obtained some fixed point theorems for different contractions (see [1–10]).

InAgarwal et al. presented a self-contained account of the fixed point theory (techniques and results) in -metric : Dingwei Zheng. “The book, including many contributions of its authors, provides an accessible and up-to-date source of information for researchers in fixed point theory in metric spaces and in various of their generalizations, Fixed point theorems in metric spaces book mappings satisfying some very general conditions.” (S.

Cobzaş, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 61 (3), ). 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. FIXED POINT THEOREMS Fixed point theorems concern maps f of a set X into itself that, under certain conditions, admit Fixed point theorems in metric spaces book 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. 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 Sectionwe 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. Inthe 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 Fixed point theorems in metric spaces book Probabilistic Analysis, which is a very dynamic area of mathematical Fixed point theorems in metric spaces book.

A primary aim Fixed point theorems in metric spaces book 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 Fixed point theorems in metric spaces book 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. In this paper, some new results are given on fixed and common fixed points of Geraghty type contractive mappings defined in b-complete b-metric spaces. Moreover, two examples are represented to show the compatibility of our results.

Some applications for nonlinear integral equations are also by: 2. Soni, G.K. “Fixed point theorems for mappings in Pseudo compact Tichonov spaces” Acta Ciencia Indica 17 () Soni, G.K. “Fixed point theorems in. Buy Fixed Point Results in Dislocated and Dislocated Quasi Metric Spaces on FREE SHIPPING on qualified orders.

Cone metric spaces were introduced in [].A similar notion was also considered by Rzepecki in [].After carefully defining convergence and completeness in cone metric spaces, the authors proved some fixed point theorems of contractive by: The statement of Schauder's Fixed Point Theorem.

In the statement, it is said that the image should be countably compact. But we are in a Banach space here, which is a metric space. In a metric space, the notion of countable compactness is equivalent to the notion of compactness.

Right. So it's enough to say that the image should be compact.(Rated Start-class, Low-importance):. Abstract. Starting from the classical Caristi fixed point theorem and its various versions, the aim of this chapter is to study Caristi-Browder operators in the following settings: (1) metric spaces; (2) ℝ + m-metric spaces; (3) s(ℝ +)-metric spaces; (4) Kasahara new research directions in the Caristi-Browder operator theory are also indicated.

Some Fixed Point Theorems Of Functional Analysis By F.F. Bonsall Notes by K.B. Vedak No part of this book may be reproduced in any form by print, microﬁlm or any other means with-out written permission from the Tata Institute of 2 Fixed point theorems in normed linear spaces 13 3 The Schauder - Tychonoﬀtheorem 5 "Normal" Structures in Metric Spaces A fixed point theorem Structure of the fixed point set Uniform normal structure Uniform relative normal structure Quasi-normal structure Stability and normal structure Ultrametric spaces Fixed point set structure—separable case Fixed Point Theory in Metric Spaces Praveen Agarwal, Mohamed Jleli, Bessem Samet This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations.

In this chapter, we establish some common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces under the generalize fuzzy cone contraction conditions.

we extend and improve some recent results given in the literature. Author(s) Details. Saif Ur Rehman. Product of fuzzy metric spaces Corollary If (X,M X,∗1) and (Y,M Y,∗2) are fuzzy metric spaces and if there exists a continuous t-norm Δ stronger than ∗1 and ∗2 then their Δ- product is a fuzzy metric space under Δ.

We now turn to the question of topologies in the -product spaces and give. Sastry and G. Babu, Some fixed point theorems by altering distance between the points, Indian J.

Pure Appl. Math. 30 (), – W. Shatanawi and M. Postolache, Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces, Fixed Point Theory Appl. (), Article ID Author: Pakeeta Sukprasert, Poom Kumam, Dawud Thongtha, Kamonrat Sombut.

Abstract. The aim of this paper is to give fixed point theorems for -monotone -nonexpansive mappings over -compact or -a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive. Examples are given to support our work.

Introduction. Let be a nonempty set. We denote by the set of subsets of. An element of is said to be a fixed point of a self Author: Jaauad Jeddi, Mustapha Kabil, Samih Lazaiz. Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis.

Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than Reviews: 1.

Fixed point theorems in E - metric spaces 85 Thus we may consider that E = E for any 2A in the Deﬁnition In particular, any multi-E-metric space is an E0-metric E = R, then the pseudo-E-metric is called a pseudo-metric and the pseudo-E- metric space is called a pseudo-metric space.

Fix a multi-E-metric space (X;P).A subset V X is called P-open if for any. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very Author: Ravi P.

Agarwal, Erdal KARAPINAR, Donal O’Regan. In this book, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved.

The established results herein augment several significant work in the comparable literature. About the Author An Introduction to Metric Spaces and Fixed Point Theory includes an extensive bibliography and an appendix which provides a complete summary of the concepts of set theory, including Zorn's Lemma, Tychonoff's Theorem, Zermelo's Theorem, and transfinite induction.

Drici, F.A. McRae, J. Vasundhara Devi, Fixed point theorems in partially ordered metric spaces for operators with PPF dependence, Nonlinear Anal. 7 () – [3] M. Fréchet, Les espaces abstraits, Gauthier–Villars, Paris, [4]Cited by: The purpose of this book is to give a comprehensive introduction to the study of non-linear operator theory in probabilistic metric spaces.

This book is introduced as a survey of the latest and new results on the following topics: Basic theory of probabilistic metric spaces; Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces; Ekeland's variational.

Some fixed point theorems on dualistic partial metric spaces, J. Adv. Math. Stud.,1, Google Scholar [9] Amini-Harandi A., Emami H., A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations, Nonlinear Anal.,72 (5), Google Scholar [10] Aydi H.,Author: Talat Nazir, Sergei Silvestrov, Mujahid Abbas.

Declaration I declare that the master thesis entitled Cone Metric Spaces and Fixed Point The-orems, is my own work, and hereby certify that unless stated, all work contained withi.

Saha made a very good contribution in the form of a book to study fixed point theory in 2 - metric spaces. In the present paper, we state and prove some fixed point theorems on fuzzy 2 - metric spaces due to Sharma by introducing the notion of 𝜀 - chain and (𝜀, 𝜆) uniformly locally contractive mappings on fuzzy 2 - Author: Mintu Lal Saha.

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. The first is the theory of triangular norms (t-norms), which is closely related to fixed point theory in probabilistic metric spaces.

In this article, we prove some fixed point theorems of Geraghty-type concerning the existence and uniqueness of fixed points under the setting of modular metric spaces.

Also, we give an application of our main results to establish the existence and uniqueness of a solution to a nonhomogeneous linear parabolic partial differential equation in the last section. Mathematics Subject Cited by: ISBN: X: OCLC Number: Description: xvii, pages ; 25 cm.

Contents: Introduction with a Brief Historical Survey --Preliminaries --G-Metric Spaces --Basic Fixed Point Results in the Setting of G-Metric Spaces --Fixed Point Theorems in Partially Ordered G-Metric Spaces --Further Fixed Point Results on G-Metric Spaces --Fixed Point.

Books. Real Analysis with Economic Applications Efe A. Ok. Book Pdf and Endorsements Again / Iterative Fixed Point Theorems / Tarski's Fixed Point Theorems / Converse of the Knaster-Tarski Theorem / The Abian-Brown Fixed Point Theorem / Fixed Points of Order-Preserving Correspondences Topological Spaces / Metric Spaces / The.Full Description: "The purpose of this book is download pdf give a comprehensive introduction to the study of non-linear operator theory in probabilistic metric spaces.

This book is introduced as a survey of the latest and new results on the following topics: Basic theory of probabilistic metric spaces; Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces.G.

Jungck, S. Radenovic, S. Radojevic and V. Ebook, Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory and Applications (), Article IDDOI: //Author: Rita Pal, Anil Kumar Dubey, Mithilesh Deo Pandey.