Abstract
Abstract Very recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed point theorems on the usual metric space. In this paper, we state and prove some fixed point theorems in the framework of G-metric space that cannot be obtained from the existence results in the context of associated metric space.
Highlights
1 Introduction and preliminaries In, Mustafa and Sims introduced the notion of G-metric and investigated the topology of such spaces
Samet et al [ ] and Jleli and Samet [ ] reported that some published results can be considered as a straight consequence of the existence theorem in the setting of the usual metric space
The authors of these two papers noticed that p(x, y) = pG(x, y) = G(x, y, y) is a quasi-metric whenever G : X × X × X → [, ∞) is a G-metric
Summary
Introduction and preliminariesIn , Mustafa and Sims introduced the notion of G-metric and investigated the topology of such spaces.
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