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

Chi-Ming Chen

Journal of Applied Mathematics, 2011, vol. 2011, 1-14

Abstract:

We introduce the notions of the asymptotic S M K -sequence with respect to the stronger Meir-Keeler cone-type mapping ξ : i n t ( P ) ∪ { θ } → [ 0,1 ) and the asymptotic W M K -sequence with respect to the weaker Meir-Keeler cone-type mapping ϕ : i n t ( P ) ∪ { θ } → i n t ( 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:127521

DOI: 10.1155/2011/127521

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