arXiv subjects

Liliana Guran

Publications and source records attributed to Liliana Guran.

2 recordsLinked to original sources

arXiv2022

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

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.

math.GM↗

arXiv2021

Infinite Geraghty type extensions and its applications on integral equations

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.

math.GN↗