A Common Fixed Point Theorem of Contractive Mappingsin Menger Probabilistic Metric Spaces
In the framework of a Menger probabilistic metric spaces,we introduce a new class of contraction condition,and proves some new coupled coincidence point and common coupled fixed point theorems. This proof is completed through the following three steps. Step1:we show that gxn and gyn are Cauchy sequences;Step2:it will be proved that (x*,y*) is the common coupled point of coincidence of g and T;Step 3:the uniqueness of the common coupled point of coincidence of g and T is proved. This theorem improves the corresponding results in some references.
Menger probabilistic metric spacesCouple coincidence pointCommon couple fixed point
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