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arXiv · 2202.01067

A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations

Rivu Bardhan·Cenep Ozel·Liliana Guran
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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.

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Rivu Bardhan, Cenep Ozel, Liliana Guran. 2022-01-31. A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations. https://arxiv.org/abs/2202.01067

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