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Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces

DOI: 10.1155/2011/127521

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We introduce the notions of the asymptotic ?-sequence with respect to the stronger Meir-Keeler cone-type mapping ∶int()∪{}→[0,1) and the asymptotic ?-sequence with respect to the weaker Meir-Keeler cone-type mapping ∶int()∪{}→int()∪{} and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular cone . Our results generalize some recent results.


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