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Common Fixed Point Results in Cone Metric Spaces Using Altering Distance Function

DOI: 10.5923/j.ajms.20120206.09

Keywords: Complete Cone Metric Space, Altering Distance Function, Common Fixed Point

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Abstract:

Cone metric space was introduced by Huang Long-Guang et al. (2007) which generalized the concept of metric space. Several fixed point results have been proved in such spaces which generalized and extended the analogous results in metric spaces by different authors. In the present paper two common fixed point results for a sequence of self maps of a complete cone metric space, using altering distance function between the points under a certain continuous control function, are obtained, which generalize the results of Sastry et al. (2001) and Pandhare et al. (1998). Two examples are given in support of our results.

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