A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations
General Mathematics
2022-02-03 v1
Abstract
In this paper, we discuss about the independent types of infinite extensions to a general version of Kannan [5] and Fisher [3] of which the well-known Kannan and Fisher theorems come as a corollaries. We also provide a strong connection between continuous Kannan operator and Fisher operator in a restricted type of metric space. We also provide an application of the main theorem of this paper, in the field of integral equations.
Keywords
Cite
@article{arxiv.2202.01067,
title = {A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations},
author = {Rivu Bardhan and Cenep Ozel and Liliana Guran},
journal= {arXiv preprint arXiv:2202.01067},
year = {2022}
}