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

Vishal Gupta, Wasfi Shatanawi and Ashima Kanwar
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Vishal Gupta: Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana-133207, Haryana, India
Wasfi Shatanawi: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Ashima Kanwar: Department of Mathematics, Sant Baba Bhag Singh University, District-Jalandhar, Punjab 144030, India

Mathematics, 2020, vol. 8, issue 3, 1-9

Abstract: 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.

Keywords: V -fuzzy metric space ( V F M -space); weakly compatible mappings; coupled fixed point; common limit range property (CLR property) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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