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Common Fixed Point Theorems for Sequences of Mappings under General Contractive Condition of Integral Type in Fuzzy Metric Spaces |
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PP: 109-113 |
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Author(s) |
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Khaled Abd-Rabou,
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Abstract |
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| 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 space using general contractive condition of integral type, without assuming compatibility and continuity of any
mapping on non complete metric spaces. To prove the theorems, 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. |
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