Abstract
In this note, we point out and rectify an error in a recently published paper “PP Murthy, Rashmi, VN Mishra, Tripled Coincidence Point Theorem For Compatible Maps In Fuzzy Metric Spaces, Electronic Journal of Mathematical Analysis and Applications, Vol. 4(2) July 2016, pp. 96-106”.
Highlights
In ref. [1], the authors showed the existence of tripled coincidence points for the pair of compatible mappings in the setup of complete fuzzy metric spaces with Hadžić type t-norm
In Theorem 17, the t-norm considered is the Hadžić type t-norm but in Example 20, the t-norm ∗ is defined by a∗b=ab for all a, b ∈ [0, 1], which is not a Hadžić type t-norm
On applying Theorem 17 [1], we obtain that (0,0,0) is the coupled coincidence point of the mappings F and g
Summary
In ref. [1], the authors showed the existence of tripled coincidence points for the pair of compatible mappings in the setup of complete fuzzy metric spaces with Hadžić type t-norm. Remark on “Tripled Coincidence Point Theorem for Compatible Maps in Fuzzy Metric Spaces” Deepmala1*, Manish Jain2 and Vandana3 1Mathematics Discipline, PDPM Indian Institute of Technology, Design and Manufacturing (IIITDM) Jabalpur-482005, India 2Department of Mathematics, Ahir College, Rewari 123401, India 3School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur-492010, Chhattisgarh, India We point out and rectify an error in a recently published paper “PP Murthy, Rashmi, VN Mishra, Tripled Coincidence Point Theorem For Compatible Maps In Fuzzy Metric Spaces, Electronic Journal of Mathematical Analysis and Applications, Vol 4(2) July 2016, pp.
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