2 edition of **generalization of some fixed point theorems.** found in the catalog.

generalization of some fixed point theorems.

Michael H. Powell

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Published
**1970** by University of Maryland, Dept. of Mathematics in [College Park, Md.] .

Written in English

- Fixed point Theorems (Topology)

Classifications | |
---|---|

LC Classifications | QA611.7 P6 |

The Physical Object | |

Pagination | [35 leaves] |

Number of Pages | 35 |

ID Numbers | |

Open Library | OL18005685M |

International peer-reviewed academic journals call for papers, (2) The class of ﬁxed point theorems obtained contains the standard ﬁxed point theorems as Brouwer’s one or Schauder’s one. (3) Our approach easily implies, and sometimes improves, some standard ap-proximate ﬁxed point theorems (as [8] and [3]). (4) Our main ﬁxed point result admits an immediate generalization to multi-.

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In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces.

Our results extend/generalize many pre-existing results in by: Abstract. The aim of this paper is to give fixed point theorems for -monotone -nonexpansive mappings over -compact generalization of some fixed point theorems.

book -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.

A generalization of some fixed point theorems by Michael H. Powell,University of Maryland, Dept. of Mathematics edition, in EnglishPages: An S-metric space is a three-dimensional generalization of a metric space.

In this paper our aim is to examine some fixed-point theorems using new contractive conditions of integral type on a. Request PDF | A Generalization of b-Metric Space and Some Fixed Point Theorems | In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space.

where is a constant. Then has a unique fixed point for any, iterative sequence converges to the fixed point. Rezapour and Hamlbarani [] improved on Theorems (–) by proving the same results without the assumption that is a normal gave examples of non-normal cones and showed that there are no normal cones with normal by: Title: Some fixed point theorems in generalization metric space, Author: Alexander Decker, Name: Some fixed point theorems in generalization metric space, Length: 6 pages, Page: 1, Published: In this paper we prove new fixed-point theorems on complete S-metric spaces.

Our results generalize and extend some fixed-point theorems in the literature. We give some examples to show the validity of our fixed-point by: 5.

Abstract. In this article, we establish some non-unique fixed point theorems of Ćirić’s type for (Φ, ψ)–hybrid contractive mappings by using a similar notion to that of the paper [M. Akram, A.A. Zafar and A.A. Siddiqui, A general class of contractions: A–contractions, Novi Sad J. Math. 38 (), no.

1, 25–33].Our results generalize, extend and improve several ones in the : Memudu O. Olatinwo. fixed point theorems Download fixed point theorems or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get fixed point theorems book now. This site is like a library, Use search box in the widget to get ebook that you want.

Generalization of Common Fixed Point Theorems for Two Mappings. Turkish Journal of Analysis and Number Theory. ; 5(6) doi: /tjant Abstract In this paper we study and generalize some common fixed point theorems in compact and Hausdorff spaces for a pair of commuting mappings with new contraction : Mumtaz Ali, Muhammad Arshad.

Then, every continuous mapping, has a unique fixed point. Moreover, if is sequentially convergent, then for each. A Version of the Jungck's Fixed Point Theorem Using Altering Distance Functions.

In this section we are going to generalize the Jungck’s fixed point Theorem by using the altering distance function and the by: 3. In this paper we study and generalize some common fixed point theorems in compact and Hausdorff spaces for a pair of commuting mappings with new contraction conditions.

The results presented in this paper include the generalization of some fixed point theorems of Fisher, Jungck, Mukherjee, Pachpatte and Sahu and : Mumtaz Ali, Muhammad Arshad. Very recently, Hussain et al. (Fixed Point Theory Appl.

) introduced the concept of JS-contraction and established some fixed point theorems for such contractions. In this paper, we introduce a new method of proofs that allows us to prove fixed point theorems for JS-contraction in complete metric spaces by removing two conditions in theorems of Hussain et by: 4.

FIXED POINT THEOREMS Econ - Fall This theorem is a generalization of the Banach xed point theorem, in particular if 2XX is a contraction with the contraction coe cient K2(0;1) then the hypothesis of Caristi's theorem aTrsi's Fixed Point Theorem First, some introductory de nitions regarding Order Size: KB.

In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms.

Results of this kind are amongst the most generally useful in mathematics. 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. is said to converge to a point ∈ if and only if lim→∞(,)=tethisbylim→∞.

Dn ition. A-metricspace (,) issaidtobecompleteif andonlyifeveryCauchysequencein convergestoapoint of. Dn ition (see[]). Let ˆ and˙ beself-mappingsofa == forsome in,then iscalled a coincidence point of ˆ and ˙ and ˘ is called a point ofCited by: 1. It is a fact that no one can contest that William Art Kirk is one of the founders of the modern theory of metric fixed points.

With more than works in the field of fixed point theory and citations, W.A. Kirk influenced the development of this flourishing field in a decisive way. The aim of this paper is to generalize two classical fixed point theorems given by Bogin [J. Bogin, A generalization of a fixed point theorem of Goebel, Kirk and Shimi, Canad.

Math. Bull. 19 () 7–12] and Greguš [M. Greguš, A fixed point theorem in Banach spaces, Boll. Math. Ital. A Cited by: SOME FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION Altun, Ishak and Turkoglu, Duran, Taiwanese Journal of Mathematics, New Results and Generalizations for Approximate Fixed Point Property and Their Applications Du, Wei-Shih and Khojasteh, Farshid, Abstract and Applied Analysis, This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications.

Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed.

In this paper, we established some common fixed point theorems for types of cyclic contractions in the setting of dislocated metric spaces. Using type of contraction introduced by Geraghty [19] and a class of continuous functions G 3 in [10] we extend, generalize and unify some results in the existing literature.

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 Fundamental Research, Colaba, Bombay 5 Tata Institute of Fundamental Research Bombay In this paper, we state and prove a generalization of Ciri´ c ﬁxed point theorems in metric space by using´ a new generalized quasi-contractive map.

These theorems extend other well known fundamental metrical ﬁxed point theorems in the literature (Banach [1], Cited by: 9. 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. This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications.

Key topics covered include Sharkovsky's theorem on periodic points, Thron's results on the convergence of certain real iterates, Shield's common fixed theorem for a commuting family of analytic functions and Bergweiler's existence theorem on fixed points of.

Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces Zhu, Chuanxi, Xu, Wenqing, and Wu, Zhaoqi, Abstract and Applied Analysis, ; The Existence of Cone Critical Point and Common Fixed Point with Applications Du, Wei-Shih, Journal of Applied Mathematics, Cited by: 9.

The obvious fixed point theorem• Every function that maps to itself in one dimension has a fixed point (a.k.a. the Intermediate-value theorem) x2 x1 x1 x2 5. Generalization to n-dimensions Brouwer’s fixed point theorem• Every continuous function from a closed ball of a Euclidean Space to itself has a fixed point.•.

26 Generalization of Semi Compatibility with Some Fixed Point Theorems. [7, 9] are also readable. InAl-Thaga– et al. [4] introduced the weaker form of weakly compatible maps by introducing new notion of occasionally weakly compatible (owc) mappings.

Bisht et al. [6] have discussed that, under contractive conditions. V.H. Badshah, P. Bhagat, S. Shukla, Some fixed point theorems for generalized R-Lipschitz map pings in linear cone 2-normed spaces, Rivista di Matematica della Università di Parma, Volume 8, Number 2 () (SCOPUS).

OVERVIEW. This post is about section in Lawvere and Schanuel's book "Conceptual Mathematics" called Brouwer's specifically, it is about clarification of description of an abstract category, in which retraction theorem is assumed and then fixed. Fixed point theorems in complete metric spaces This fact implies that T is asymptotically regular, being a + b + c =c 1.

Remark 5. Under the assumptions of Corollary 5, we have, by virtue Remark 3, that sequence { T”x},“,~ converges to the unique fixed point of I: COROLLARY 6 [5]. Fixed Point Theorems 1 1 Overview De nition 1.

Given a set Xand a function f: X!X, x 2Xis a xed point of fi f(x) = x. Many existence problems in economics { for example existence of competitive equilibrium in general equilibrium theory, existence of Nash in equilibrium in game theory {.

is a fixed point at infinity. If a. # 1, then there exists another fixed point determined by z = a.z + S, which implies z = 1-a.

t3 hence the point S is 1-a. a fixed point. But if a. = 1, B f 0, there is no finite fixed point. If a. f 1, B f 0, the finite fixed point _s_ approaches 1-CL oo as a. tends to 1. FIXED POINT THEOREMS AND APPLICATIONS TO GAME THEORY 3 x0 x1 x 2 x0 x1 x Figure 1.

A 2-simplex on the left and a closed 2-simplex on the right. De nition An n-simplex is the set of all strictly positive convex combina-tions of an (n+1)-element a nely independent set. An n-simplex Twith a nely-independent vertices x0;;xn is de ned by T File Size: KB.

Fixed Point Theory and Applications This is a new project which consists of having a complete book on Fixed Point Theory and its Applications on the Web.

For more information, please contact M.A. Khamsi via email at [email protected] 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 theorems in locally convex spaces. Bugajewski, D. // Acta Mathematica Hungarica;, Vol. 98 Issue 4, p The aim of this paper is to prove some fixed point theorems which generalize well known basic fixed point principles of nonlinear functional analysis.

In this paper, we establish new xed point theorems which simulta-neously generalize and improve Banach contraction principle, Kannan’s xed point theorem, Chatterjea’s xed point theorem and some known results in the literature.

Mathematics Subject Classi cation: 47H10, 54H25 Keywords: MT-function (or R-function), Banach contraction principle. On a generalization of the Cartwright–Littlewood fixed point theorem for planar homeomorphisms - Volume 37 Issue 6 - J.

P. BOROŃSKI Skip to main content We use cookies to distinguish you from other users and to provide you with a better experience on our : J. P. Boroński.A fixed point of a self-map ƒ: X → X of a topological space X is a point x of X such that ƒ(x) is equal to set of all fixed points of ƒ is denoted by Fix(ƒ).

A topological space X is said to have the fixed-point property if every continuous self-map of X has a fixed point. This chapter focuses on the various generalizations of the Brouwer Fixed Point Theorem on an elementary : Kazuhiro Kawamura.In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued provides sufficient conditions for a set-valued function defined on a convex, compact subset of a Euclidean space to have a fixed point, i.e.

a point which is mapped to a set containing it. The Kakutani fixed point theorem is a generalization of Brouwer fixed point theorem.