The purpose of this paper is to prove some common fixed point theorems for a pair of R-weakly commuting mappings defined on intuitionistic fuzzy metric spaces [Park JH. Intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals 2004;22:1039-46] and L-fuzzy metric spaces [Saadati R, Razani A, Adibi H. A common fixed point theorem in L-fuzzy metric spaces. Chaos, Solitons & Fractals, doi: 10.1016/j.chaos.2006.01.023], with nonlinear contractive condition, defined with function, first observed by Boyd and Wong [Boyd DW, Wong JSW. On nonlinear contractions. Proc Am Math Soc 1969;20:458-64]. Following Pant [Pant RP. Common fixed points of noncommuting mappings. J Math Anal Appl 1994;188:436-40] we define R-weak commutativity for a pair of mappings and then prove the main results. These results generalize some known results due to Saadati et al., and Jungck [Jungck G. Commuting maps and fixed points. Am Math Mon 1976;83:261-3]. Some examples and comments according to the preceding results are given. (c) 2006 Elsevier Ltd. All rights reserved.
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机译：本文的目的是证明在直觉模糊度量空间上定义的一对R弱换向映射的一些公共不动点定理[Park JH。直觉模糊度量空间。混沌，孤子和分形2004; 22：1039-46]和L-模糊度量空间[Saadati R，Razani A，AdibiH。L-模糊度量空间中的一个公共不动点定理。混沌，孤子和分形，doi：10.1016 / j.chaos.2006.01.023]，具有非线性收缩条件，由函数定义，最早由Boyd和Wong [Boyd DW，Wong JSW。观察到。关于非线性收缩。 Proc Am Math Soc 1969; 20：458-64]。以下裤子[Pant RP。非通勤映射的公共不动点。 [J Math Anal Appl 1994; 188：436-40]我们定义了一对映射的R-弱可交换性，然后证明了主要结果。这些结果归因于Saadati等人和Jungck [Jungck G.通勤图和固定点。 Am Math Mon 1976; 83：261-3]。根据前面的结果给出了一些例子和评论。 （c）2006 Elsevier Ltd.保留所有权利。
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