Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces
type: Item
instance of: scholarly article
title: Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces
zbMATH Open document ID: 1143.54019
author: Abdolrahman Razani
published in: Chaos, Solitons and Fractals
publication date: 2008-06-05T00:00:00Z
review text: The existence of a fixed point of an intuitionistic fuzzy nonexpansive mapping is proved. The theorem generalizes a result of \textit{V. Gregori} and \textit{A. Sapena} [Fuzzy Sets Syst. 125, No. 2, 245--252 (2002; Zbl 0995.54046)]. Also, the Edelstein periodic point theorem for locally contractive mappings is extended from metric spaces to intuitionistic fuzzy metric spaces. For related articles the reader is referred to [\textit{V. Gregori, S. Romaguera} and \textit{P. Veeramani}, Chaos Solitons Fractals 28, No. 4, 902--905 (2006; Zbl 1096.54003)], [\textit{D. Miheţ}, Fixed Point Theory Appl. 2007, Article ID 87471, 5 p. (2007; Zbl 1152.54008)], [\textit{L. B. Ćirić, S. N. Ješić} and \textit{J. S. Ume}, Chaos Solitons Fractals 37, No. 3, 781--791 (2008; Zbl 1137.54326)].
reviewed by: Dorel Miheţ
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5285337
zbMATH Keywords: fixed point
zbMATH Keywords: periodic point
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: intuitionistic fuzzy metric space
MaRDI profile type: Publication
full work available at URL: j.chaos.2005.10.010
OpenAlex ID: W2079315231
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DOI: 10.1016/J.CHAOS.2005.10.010
description: scientific article; zbMATH DE number 5285337