Common fixed point for self-mappings satisfying an implicit Lipschitz-type condition in Kaleva-Seikkala's type fuzzy metric spaces
type: Item
instance of: scholarly article
title: Common fixed point for self-mappings satisfying an implicit Lipschitz-type condition in Kaleva-Seikkala's type fuzzy metric spaces
zbMATH Open document ID: 1294.54042
DOI: 10.1155/2013/278340
author: Ming-liang Song
author: Xiujuan Zhu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We first introduce the new real function class \(\mathcal F\) satisfying an implicit Lipschitz-type condition. Then, by using \(\mathcal F\)-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy metric spaces (in the sense of Kaleva and Seikkala) are established. As applications, we obtain the corresponding common fixed point theorems in metric spaces. Also, some examples are given, which show that there exist mappings which satisfy the conditions in this paper but cannot satisfy the general contractive type conditions.
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 6306594
Wikidata QID: Q58915782
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/278340
OpenAlex ID: W2078789308
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description: scientific article; zbMATH DE number 6306594