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http://dx.doi.org/10.7468/jksmeb.2020.27.4.187

COINCIDENCE THEOREMS VIA CONTRACTIVE MAPPINGS IN ORDERED NON-ARCHIMEDEAN FUZZY METRIC SPACES  

Prasad, Gopi (Department of Mathematics, HNB Garhwal University)
Tomar, Anita (Government Degree College Thatyur)
Dimri, Ramesh Chandra (Department of Mathematics, HNB Garhwal University)
Bartwal, Ayush (Department of Mathematics, HNB Garhwal University)
Publication Information
The Pure and Applied Mathematics / v.27, no.4, 2020 , pp. 187-205 More about this Journal
Abstract
In this article, we prove coincidence point theorems for comparable 𝜓-contractive mappings in ordered non-Archimedean fuzzy metric spaces utilizing the recently established concept of 𝓣-comparability and relatively weaker order theoretic variants. With a view to show the usefulness and applicability of this work, we solve the system of ordered Fredholm integral equations as an application. In the process, this presentation generalize and improve some prominent recent results obtained in Mihet [Fuzzy Sets Syst., 159 (6), 739-744, (2008)], Altun and Mihet [ Fixed Point Theory Appl. 2010, 782680, (2010)], Alam and Imdad [Fixed Point Theory, 18(2), 415-432, (2017)] and several others in the settings of partially ordered non-Archimedean fuzzy metric spaces.
Keywords
fuzzy metric; partial order; comparable mappings;
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Times Cited By KSCI : 2  (Citation Analysis)
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