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Tonjam Thaibema, Yumnam Rohen, Thounaojam Stephen, Oinam Budhichandra Singh,” Fixed points of rational F-contractions in S-metric spaces”, J. Math. Comput. Sci., 12:153, 2022.

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Article

A New Approach to Fixed Point Theorems on a Metric Space Endowed with Graph

1Department of Mathematics, Queen Mary’s College (Affiliated to University of Madras), Chennai, Tamil Nadu, India

2Department of Mathematics, Meenakshi College for Women (Affiliated to University of Madras), Chennai, Tamil Nadu, India


American Journal of Applied Mathematics and Statistics. 2022, Vol. 10 No. 3, 69-75
DOI: 10.12691/ajams-10-3-1
Copyright © 2022 Science and Education Publishing

Cite this paper:
R. Hemavathy, R. Om Gayathri. A New Approach to Fixed Point Theorems on a Metric Space Endowed with Graph. American Journal of Applied Mathematics and Statistics. 2022; 10(3):69-75. doi: 10.12691/ajams-10-3-1.

Correspondence to: R.  Om Gayathri, Department of Mathematics, Meenakshi College for Women (Affiliated to University of Madras), Chennai, Tamil Nadu, India. Email: omgayathri.r@gmail.com

Abstract

In this paper, a new approach has been discussed to define the graph associated with the metric space and the iteration function is used to define its sub-graph. Subsequently, the fixed point theorems by Banach, Kannan, Chatterjea and Ciric are obtained using this new approach.

Keywords