Fuzzy metric space; w-compatible mapping; property (E.A.); (CLR) property; common fixed point
Issue Date
2020-09
Publisher
SPRINGER BASEL AG
Citation
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v. 22, no. 3, article no. 78
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.