Fixed points of Ćirić-Matkowski-type contractions in ν -generalized metric spaces

Abstract

In this paper, fixed point theorems for Ćirić-Matkowski-type contractions in ν-generalized metric spaces are presented. Then, by replacing the distance function d(x, y) with function of the form m(x, y) = d(x, y) + γ(d(x, Tx) + d(y, Ty)) , where γ> 0 , results analogue to those due to Proinov (Nonlinear Anal 64:546–557, 2006) are obtained. An example is provided to demonstrate a possible usage of these results.