Mustafa, Zead; Obiedat, Hamed A fixed point theorem of Reich in \(G\)-metric spaces. (English) Zbl 1220.54030 Cubo 12, No. 1, 83-93 (2010). Summary: In this paper we prove some fixed point results for mappings satisfying sufficient contractive conditions on a complete \(G\)-metric space; we also show that if the \(G\)-metric space \((X,G)\) is symmetric, then the existence and uniqueness of these fixed points follows from Reich’s theorem in an ordinary metric space \((X,d_G)\), where \((X,d_G)\) is the metric induced by the \(G\)-metric space \((X,G)\). Cited in 37 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E50 Complete metric spaces Keywords:metric space; generalized metric space; \(D\)-metric space; 2-metric space PDFBibTeX XMLCite \textit{Z. Mustafa} and \textit{H. Obiedat}, Cubo 12, No. 1, 83--93 (2010; Zbl 1220.54030) Full Text: DOI