2013
DOI: 10.22436/jmcs.06.02.04
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Fixed Point Theorems For Weakly Compatible Maps Under E.a. Property In Fuzzy 2-metric Spaces

Abstract: In this paper, we introduce E.A. property on fuzzy 2-metric spaces and prove common fixed point theorem for a pair of weakly compatible maps under E.A. property on fuzzy 2-metric spaces.

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Cited by 3 publications
(3 citation statements)
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“…Recently, Latif [9] has obtained the following result on common fixed point in best approximations, which generalize and extend the recent study of AL-Thagafi [1], N. Hussain, M.A.Kutbi [5], etc. M. Abbas and J. Kyu kim [8] obtained common fixed point and invariant approximation results.…”
Section: Introductionsupporting
confidence: 65%
“…Recently, Latif [9] has obtained the following result on common fixed point in best approximations, which generalize and extend the recent study of AL-Thagafi [1], N. Hussain, M.A.Kutbi [5], etc. M. Abbas and J. Kyu kim [8] obtained common fixed point and invariant approximation results.…”
Section: Introductionsupporting
confidence: 65%
“…
In this paper, we prove some common fixed point theorems for four weakly compatible self-maps along with ( ) property in fuzzy 2-metric spaces. Our results are the improved version of the theorems proved by Shojaei et al [1] in 2013, since our results does not require closedness of ranges of subsets of .
…”
mentioning
confidence: 50%
“…The main purpose of this modification is to introduce some desirable topological properties such as Hausdroff property. For more detail, one can refers to papers [1], [2], [7], [12] and [17]. Fixed point results were discussed in modified ℳ-fuzzy metric spaces defined in the sense of Sedghi and Shobe [10].…”
Section: Introductionmentioning
confidence: 99%