Φ-Contraction principle and an open problem in GV-fuzzy metric spaces
- Authors
- Jain, Manish; Kumar, Sanjay; Park, Choonkil
- Issue Date
- Sep-2020
- Publisher
- SPRINGER BASEL AG
- Keywords
- Fuzzy metric space; w-compatible mapping; property (EA); (CLR) property; common fixed point
- Citation
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.22, no.3, pp.1 - 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
- Volume
- 22
- Number
- 3
- Start Page
- 1
- End Page
- 13
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145190
- DOI
- 10.1007/s11784-020-00816-2
- ISSN
- 1661-7738
- Abstract
- In this paper, we present a new coupled F-contraction principle for w-compatible mappings with (CLR) property in GV-fuzzy metric spaces. The present work improves the recent results of Hu (Fixed Point Theory Appl 2011:363716, 2011), Hu et al. (Fixed Point Theory Appl 2013:220, 2013) and Jain et al. (J Appl Math 2012:961210, 2012). At the end, we provide the significance of the present study and propose an open problem.
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