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.
“…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.…”
Common fixed point results for new classes of non-commuting self-maps and non-expansive. Within the class of all self-maps and of a −starshaped subset of where is affine or −affine. We apply them to obtain several invariant approximation results which unify, extend, and complement well-known results.
“…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.…”
Common fixed point results for new classes of non-commuting self-maps and non-expansive. Within the class of all self-maps and of a −starshaped subset of where is affine or −affine. We apply them to obtain several invariant approximation results which unify, extend, and complement well-known results.
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 .
In this paper, we prove some common fixed point theorems for four weakly compatible self-maps along with (CLR) 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 X.
“…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].…”
In this paper, we prove two common fixed point theorems involving R-weakly commuting mappings in the context of ℳ-fuzzy metric spaces. Our results generalizes the earlier results of Pant [8], Vasuki [15] and Som [13,14] in fuzzy metric spaces.
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