$n$-tuple fixed point in $\phi$-ordered $G$-metric spaces
General Topology
2017-09-25 v1
Abstract
We use three seminal approaches in the study of fixed point theory, the so called -metrics, multidimensional fixed points and partially ordered spaces. More precisely, we extend known results from the theory of quasi-pseudometric spaces to the -metric space setting. In particular, we show the existence of -tuple fixed points (resp. common -tuple fixed point) for a non-decreasing mapping (resp. a pair of weakly related mappings) in a -ordered -metric space.
Cite
@article{arxiv.1709.07680,
title = {$n$-tuple fixed point in $\phi$-ordered $G$-metric spaces},
author = {Yaé Ulrich Gaba and Collins Amburo Agyingi},
journal= {arXiv preprint arXiv:1709.07680},
year = {2017}
}