Generalized f‐contraction for a pair of mappings on cone metric spaces

Generalized f‐contraction for a pair of mappings on cone metric spaces

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Article ID: iaor20115638
Volume: 217
Issue: 22
Start Page Number: 8899
End Page Number: 8906
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: cone decomposition, graphical methods
Abstract:

Using the setting of cone metric space, a fixed point theorem is proved for two maps, and several corollaries are obtained. In these cases, the cone does not need to be normal. These results generalize several well known compatible recent and classical results in the literature. As an application, the existence of solution of an integral equation is presented.

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