Title: Two generalised fixed point theorems in G-metric space without iterations
Authors: S. Saravanan; T. Phaneendra
Addresses: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India ' Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India
Abstract: Two generalised fixed point theorems are proved using the well-known infimum property of real numbers without an appeal to the iterative procedure.
Keywords: the infimum property; G-metric space; G-Cauchy sequence; fixed point; G-contractive fixed point.
DOI: 10.1504/IJCAET.2020.110485
International Journal of Computer Aided Engineering and Technology, 2020 Vol.13 No.4, pp.465 - 474
Accepted: 26 Feb 2018
Published online: 22 Oct 2020 *