Common fixed point theorems for hybrid pairs of maps in fuzzy metric spaces |
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Affiliation: | 1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;2. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt |
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Abstract: | The purpose of this paper is to introduce the notion of common limit range property (CLR property) for two hybrid pairs of mappings in fuzzy metric spaces, and we prove common fixed point theorems using (CLR) property for these mappings with implicit relation. Our results extend some known results to multi-valued arena. Also, we prove common fixed point theorem in fuzzy metric spaces satisfying an integral type. |
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Keywords: | Fuzzy metric space Hybrid map Common fixed point |
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