Orthogonal metric space and convex contractions
author
Abstract:
In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath might be called their definitive versions. Also, we show that there are examples which show that our main theorems are genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour, {it Approximate fixed points of generalized convex contractions}, Fixed Point Theory and Applications 2013, 2013:255].
similar resources
orthogonal metric space and convex contractions
in this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath might be called their definitive versions. also, we show that there are examples which show that our main theorems are genuine generalizations of theorem 3.1 and 3.2 of cite{r}[ m.a. miandaragh, m. postolache, s. rezapour, textit{approximate fixed points of generalizedconvex contractions},...
full textFixed Point Theory in $varepsilon$-connected Orthogonal Metric Space
The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some i...
full textFixed point theory in generalized orthogonal metric space
In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.
full textFixed points for Chatterjea contractions on a metric space with a graph
In this work, we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph and investigate the existence of fixed points for such mappings under two different hypotheses. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.
full text$psi -$weak Contractions in Fuzzy Metric Spaces
In this paper, the notion of $psi -$weak contraction cite{Rhoades} isextended to fuzzy metric spaces. The existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. Our resultgeneralizes a result of Gregori and Sapena cite{Gregori}.
full textSome random fixed point theorems in generalized convex metric space
In this paper, we consider a new random iteration process to approximate a common random fixed point of a finite family of uniformly quasi-Lipschitzian random mappings in generalized convex metric spaces. Our results presented in this paper extend and improve several recent results. c ©2016 All rights reserved.
full textMy Resources
Journal title
volume 6 issue 2
pages 127- 132
publication date 2015-10-21
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023