Application of Generalized Weakly Compatibility in Common Fixed Point Results on Fuzzy Metric Spaces

摘要

We introduce the concepts of generalized compatibility and generalized weakly compatibility for the pair {F,G} of mappings F,G: X × X → X in the setting of fuzzy metric space and also introduce the concept of common fixed point of the mappings F,G : X × X → X . We establish a common fixed point theorem for generalized weakly compatible pair F,G: X × X → X , without mixed monotone property of any of the mappings, on a non complete fuzzy metric space, which is not partially ordered. We also give an example to validate our result. Our results generalize some recent comparable results in the literature.