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

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

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