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Two generalised fixed point theorems in G-metric space without iterations

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India

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and

T. Phaneendra

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India

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Published Online:May 7, 2020pp 465-474https://doi.org/10.1504/IJCAET.2020.110485

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

cover image International Journal of Computer Aided Engineering and Technology

Volume 13Issue 42020

ISSN: 1757-2657
eISSN: 1757-2665

History

Published onlineMay 07, 2020

Keywords

Authors and Affiliations

S. Saravanan¹
T. Phaneendra²

1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India
2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India

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