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D. O’Regan and M. Abbas, “Necessary and Sufficient Conditions for Common Fixed Point Theorems in Fuzzy Metric Space,” Demonstratio Mathematica, Vol. 42, No. 4, 2009, pp. 887-900.

has been cited by the following article:

• TITLE: Common Fixed Point Theorems for Weakly Compatible Mappings in Fuzzy Metric Spaces Using (JCLR) Property

  AUTHORS: Sunny Chauhan, Wutiphol Sintunavarat, Poom Kumam

  KEYWORDS: Fuzzy Metric Space; Weakly Compatible Mappings; (E.A) Property; (CLR) Property; (JCLR) Property

  JOURNAL NAME: Applied Mathematics, Vol.3 No.9, September 27, 2012

  ABSTRACT: 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.