COMMON FIXED POINT THEOREMS FOR HYBRID PAIRS OF MAPPINGS USING IMPLICIT RELATIONS IN FUZZY METRIC SPACE

Ved Prakash Bhardwaj, Sourabh Tiwari

DOI Number
https://doi.org/10.22190/FUMI200801060B
First page
861
Last page
875

Abstract


The purpose of this paper is to introduce the notion of a new type of common limit range property for a hybrid pair of single and multivalued mappings in fuzzy metric space and establish some common fixed point theorems satisfying the same property using implicit relations. Some related results are also derived besides furnishing illustrative examples. Further, we also present an integral type common fixed point
theorem in fuzzy metric space. Our results improve and extend some previously known results.


Keywords

Fuzzy metric spaces (FMS), weakly compatible mapping, new type of common limit in the range property.

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References


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DOI: https://doi.org/10.22190/FUMI200801060B

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