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Open AccessArticle

Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

by Vishal Gupta 1,†, Wasfi Shatanawi 2,3,4,*,† and Ashima Kanwar 5,†
1
Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana-133207, Haryana, India
2
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
3
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
4
Department of M-Commerce and Multimedia Applications, Asia University, Taichung 41354, Taiwann
5
Department of Mathematics, Sant Baba Bhag Singh University, District-Jalandhar, Punjab 144030, India
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(3), 404; https://doi.org/10.3390/math8030404
Received: 19 February 2020 / Revised: 5 March 2020 / Accepted: 8 March 2020 / Published: 12 March 2020
The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces. More precisely, we introduce the notion of C L R Ω -property for the mappings Θ : M × M M and Ω : M M . We utilize our new notion to present and prove our new fixed point results. View Full-Text
Keywords: V -fuzzy metric space ( V F M -space); weakly compatible mappings; coupled fixed point; common limit range property (CLR property) V -fuzzy metric space ( V F M -space); weakly compatible mappings; coupled fixed point; common limit range property (CLR property)
MDPI and ACS Style

Gupta, V.; Shatanawi, W.; Kanwar, A. Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces. Mathematics 2020, 8, 404.

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