Samei, M. (2019). Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces. Sahand Communications in Mathematical Analysis, (), -. doi: 10.22130/scma.2018.72350.288

Mohammad Esmael Samei. "Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces". Sahand Communications in Mathematical Analysis, , , 2019, -. doi: 10.22130/scma.2018.72350.288

Samei, M. (2019). 'Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces', Sahand Communications in Mathematical Analysis, (), pp. -. doi: 10.22130/scma.2018.72350.288

Samei, M. Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces. Sahand Communications in Mathematical Analysis, 2019; (): -. doi: 10.22130/scma.2018.72350.288

Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces

Articles in Press, Accepted Manuscript, Available Online from 01 May 2019

^{}Department of Mathematics, Faculty of Science, Bu-Ali Sina University, 6517838695, Hamedan, Iran.

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.

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