Infinite Geraghty type extensions and its applications on integral equations

Abstract: In this article, we go on to discuss about a series of infinite dimensional extension of the theorems in [3], [5], [6]. We also prove a similar Geraghty type constructions for Fisher ([5]) in infinite dimension, using similar techniques as in [3] and [6]. As an application a theory of finding solutions for the infinite dimensional Fredholm integral equation and Uryshon type integral equation is also provided.