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.

On Two Banach-Type Fixed Points in Bipolar Metric Spaces

“…In the present paper, we extend certain fixed point theorems, which we think are genuine generalizations of the Banach fixed point theorem. A similar work has been done by Gaba [16]. We give examples which present the applicability of our obtained results.…”

Fixed points on partial metric type spaces

“…This completes the proof. As observed in [4,Remark 2.2], under the assumptions of Theorem 2.5, it is readily seen that…”

“…Moreover, we prove that the partial metric type space (X, p ′ ) is 0-complete if T is uniformly continuous. Ideas for this section are merely copies of the results presented in [4]. We adjust them in the partial metric type setting.…”