  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.
