Some Extensions of Kannan Fixed Point Theorem on 2-Metric Spaces

Abstract

2-metric space is an interesting nonlinear generalization of the classical one of metric space. In this paper we established fixed point theorems in 2-Metric Spaces by using some new extensions of Kannan fixed point theorem obtained by Kannan [1,2]. The result can be considered as an extension and generalization of fixed point theorems on 2-metric spaces and kannan fixed point theorems, given by many well known authors announced in the available literature.