Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
Author(s):
Article Type:
Research/Original Article (بدون رتبه معتبر)
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.
Keywords:
Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:15 Issue: 1, Summer 2019
Pages:
91 to 106
https://www.magiran.com/p2010585