Common fixed point theorems of the asymptotic sequences in ordered cone metric spaces

We introduce the notions of the asymptotic s m k-sequence with respect to the stronger meir-keeler cone-type mapping ξ: int(p) ∪ {θ} → [0,1) and the asymptotic w m k-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. copyright © 2011 chi-ming chen.