Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
author
Abstract:
Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions. The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach contraction principle is that it also gives the convergence of an iterative scheme to a unique fixed point. In this paper, we consider $(X, M, *)$ to be fuzzy metric spaces in Park's sense and we show our results for fixed points of contractive and nonexpansive multifunctions on Hausdorff fuzzy metric space.
similar resources
A note on convergence in fuzzy metric spaces
The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,ast)$ is a fuzzy metri...
full textan application of fuzzy logic for car insurance underwriting
در ایران بیمه خودرو سهم بزرگی در صنعت بیمه دارد. تعیین حق بیمه مناسب و عادلانه نیازمند طبقه بندی خریداران بیمه نامه براساس خطرات احتمالی آنها است. عوامل ریسکی فراوانی می تواند بر این قیمت گذاری تاثیر بگذارد. طبقه بندی و تعیین میزان تاثیر گذاری هر عامل ریسکی بر قیمت گذاری بیمه خودرو پیچیدگی خاصی دارد. در این پایان نامه سعی در ارائه راهی جدید برای طبقه بندی عوامل ریسکی با استفاده از اصول و روش ها...
Linear openness of multifunctions in metric spaces
Here, S stands for the closure of the set S. Various openness and almost openness notions are build on the inclusions (1.1) and (1.2). Every openness property implies the corresponding almost openness property, for S⊆ S. It is expected for the converse implication to be true in case that the multifunction F has a closed graph. In this regard, we recall the result in [12, Chapter 6, Lemma 36, pa...
full textOn metric spaces induced by fuzzy metric spaces
For a class of fuzzy metric spaces (in the sense of George and Veeramani) with an H-type t-norm, we present a method to construct a metric on a fuzzy metric space. The induced metric space shares many important properties with the given fuzzy metric space. Specifically, they generate the same topology, and have the same completeness. Our results can give the constructive proofs to some probl...
full texta note on convergence in fuzzy metric spaces
the sequential $p$-convergence in a fuzzy metric space, in the sense of george and veeramani, was introduced by d. mihet as a weaker concept than convergence. here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. in such a case $m$ is called an $s$-fuzzy metric. if $(n_m,ast)$ is a fuzzy metri...
full textSome Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph
In 2006, Espinola and Kirk made a useful contribution on combining fixed point theoryand graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, ...
full textMy Resources
Journal title
volume 15 issue 1
pages 91- 106
publication date 2019-07-01
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