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

2022/01/31 by Bardhan, Rivu, Ozel, Cenep, Guran, Liliana
#47H10 #54H25 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2202.01067

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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