Su, Yongfu; Luo, Yinglin; Petruşel, Adrian; Yao, Jen-Chih A study of a special kind of \(N\)-fixed point equation system and applications. (English) Zbl 1488.54185 Miskolc Math. Notes 22, No. 1, 443-455 (2021). Summary: The purpose of this paper is to consider a system of \(N\)-fixed point equations in metric spaces. The existence and uniqueness of solution and an iterative algorithm for approximating the solution are studied. This system of \(N\)-fixed point equations is an extension of the classical of fixed point equation \(x=Tx\). The results of this paper improve several important works recently published in the literature. MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces Keywords:contraction mapping principle; complete metric spaces; multivariate fixed point; multiply metric function; system of \(N\)-fixed point operator equations; initial value problem PDFBibTeX XMLCite \textit{Y. Su} et al., Miskolc Math. Notes 22, No. 1, 443--455 (2021; Zbl 1488.54185) Full Text: DOI