FIXED POINT THEOREMS VIA CONTRACTIVE FIXED POINT IN G-METRIC SPACES

Abstract

The study of the existence of contractive fixed points for self-maps in metricspaces was carried out by Edelstein, Hoyle, Leader, and Reich. More recently, KumaraSwamy and Saravanan introduced a conjecture in the setting of G-metric spaces. In thispaper, we establish several new fixed point theorems based on this conjecture and on con-tractive xed points in G-metric spaces.