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Common fixed point and fixed point results under c-distance in cone metric spaces |
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PP: 47-52 |
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Author(s) |
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Zaid Mohammed Fadail,
Abd Ghafur Bin Ahmad,
Stojan Radenovi,
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Abstract |
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| In this paper, we extend the some results of Abbas and Jungck (2008) and Jungck et al. (2009) under the concept of a cdistance
in cone metric spaces. Also, we improve the recent result ofWang and Guo (2011) by omitting the assumption of normality for
cones and using the concept of weakly compatible for mappings. In particular, we give some examples for which our result successfully
detects a common fixed point in contrast to the some results of Abbas and Jungck, Jungck et al. and Wang and Guo which are not
applied to show the existence of a common fixed point. |
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