Common Fixed Point Theorems for Sequences of Mappings in Fuzzy Metric Spaces

نویسنده

  • Khaled Abd-Rabou
چکیده

The purpose of this paper is to study common fixed point theorems for six (four single-valued and two set-valued) mappings in fuzzy metric spaces. without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorem, we use a non compatible condition, that is, weak commutativity of type (Kh)in fuzzy metric spaces. We show that completeness of the whole space is not necessary for the existence and uniqueness of common fixed point. Also, we prove a common fixed point theorem for two self mappings and two sequences set-valued mappings by the same weaker conditions. Our results generalize, extend and improve the corresponding results given by many authors.

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تاریخ انتشار 2012