Related G-metrics and Fixed Points

Abstract

For a single valued mapping T in a G-complete G-metric space (X, d), we show that if Tn,for some n> 1, is a contraction, then T itself is a contraction under another related G-metric d′. We establish moreover that if T is uniformly continuous, then d′ is G-complete.

Keywords

• (related) g-metrics
• fixed point
• contraction