Sintunavarat, W.; Kumam, P. Common fixed points of \(f\)-weak contractions in cone metric spaces. (English) Zbl 1304.54096 Bull. Iran. Math. Soc. 38, No. 2, 293-303 (2012). Let \((X,d)\) be a cone metric space over a regular cone \(P\), with \(d(x,y)\in\text{int}P\) for \(x\neq y\), and let \(f,T:X\to X\) be two mappings satisfying \(d(Tx,Ty)\preceq d(fx,fy)-\phi(d(fx,fy))\) for \(x,y\in X\), where \(\phi:\text{int}P\cup\{0\}\to\text{int}P\cup\{0\}\) satisfies certain conditions. The authors prove a coincidence point and a common fixed point result for \(f\) and \(T\). Reviewer: Zoran Kadelburg (Beograd) Cited in 17 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) Keywords:cone metric space; weak contraction; \(f\)-weak contraction; coincidence point; common fixed point PDFBibTeX XMLCite \textit{W. Sintunavarat} and \textit{P. Kumam}, Bull. Iran. Math. Soc. 38, No. 2, 293--303 (2012; Zbl 1304.54096)