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Coincidence and Common Fixed Point of Weakly Compatible Maps in Intuitionistic Fuzzy Metric Space |
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PP: 97-105 |
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doi:10.18576/msl/070204
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Author(s) |
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Saurabh Manro,
Anita Tomar,
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Abstract |
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| In this paper, we introduce new notion of common limit in the range property (CLRf g) for a pair of self map which is a
proper generalization of common limit in the range property (CLRg) for a pair of self maps and discuss the existence of coincidence and
common fixed point for weakly compatible self maps via property (E.A.) and its variants in intuitionistic fuzzy metric space. Our results
guarantee the existence of coincidence and common fixed point for noncompatible maps without closedness /completeness requirement
of subspace even when all the maps are discontinuous. We also furnish an illustrative example in support of our results. |
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