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

R. Hemavathy¹ and R. Om Gayathri^2,

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

Cite this paper

R. Hemavathy and 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

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

fixed point, iterated function, graph, sub-graph, w-sequence

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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