%0 Journal Article
%T Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Samei, Mohammad Esmael
%D 2019
%\ 07/01/2019
%V 15
%N 1
%P 91-106
%! Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
%K Inexact iterative
%K Fixed point
%K Contraction multifunction
%K Hausdorff fuzzy metric
%R 10.22130/scma.2018.72350.288
%X 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.
%U http://scma.maragheh.ac.ir/article_35070_810d28ad9c75d6e7f96342191446473e.pdf