n-tuple fixed point in ϕ-ordered G-metric spaces

2017/09/22 by Yaé Ulrich Gaba, Gaba, Yaé Ulrich, Collins Amburo Agyingi +1
Mathematics · #47H05 (Primary) 47H09 #47H10 (Secondary) #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.1709.07680

openalex publication_date 2017/09/22 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

We use three seminal approaches in the study of fixed point theory, the so called G-metrics, multidimensional fixed points and partially ordered spaces. More precisely, we extend known results from the theory of quasi-pseudometric spaces to the G-metric space setting. In particular, we show the existence of n-tuple fixed points (resp. common n-tuple fixed point) for a non-decreasing mapping (resp. a pair of weakly related mappings) in a ϕ-ordered G-metric space.

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