Common Fixed Point Theorems for Weakly Compatible Mappings in Fuzzy Metric Spaces Using (JCLR) Property
Common Fixed Point Theorems for Weakly Compatible Mappings in Fuzzy Metric Spaces Using (JCLR) Property
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DOI：
10.4236/am.2012.39145
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发表时间：
2012-09
影响因子：
1
通讯作者：
S. Chauhan;W. Sintunavarat;Poom Kumam
中科院分区：
文献类型：
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作者：
S. Chauhan;W. Sintunavarat;Poom Kumam
在本文中，我们使用称为（JCLR）属性的映射范围属性中的联合公共限制来证明模糊度量空间中一对弱兼容映射的公共不动点定理。还提供了一个例子来证明主要结果的有效性。我们还将我们的主要结果扩展到两个有限的自映射族。我们的结果改进并概括了 Cho 等人的结果。 [Y。 J. Cho、S. Sedghi 和 N. Shobe，“模糊度量空间中某些类型的兼容映射的广义不动点定理”，混沌、孤子和分形，卷。 39，第 5 期，2009 年，第 2233-2244 页。] 以及文献中存在的几个已知结果。
In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space using the joint common limit in the range property of mappings called (JCLR) property. An example is also furnished which demonstrates the validity of main result. We also extend our main result to two finite families of self mappings. Our results improve and generalize results of Cho et al. [Y. J. Cho, S. Sedghi and N. Shobe, “Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces,” Chaos, Solitons & Fractals, Vol. 39, No. 5, 2009, pp. 2233-2244.] and several known results existing in the literature.