Abbas, Mujahid; Chema, Imran Zulfiqar; Razani, Abdolrahman Existence of common fixed point for \(b\)-metric rational type contraction. (English) Zbl 1461.54066 Filomat 30, No. 6, 1413-1429 (2016). Summary: The necessary conditions for existence of a common fixed point of two mappings satisfying generalized \(b\)-order contractive condition in the setting of a partially ordered \(b\)-complete \(b\)-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized \(b\)-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation. Cited in 5 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces Keywords:common fixed point; compatible maps; \(b\)-metric space; partially ordered set PDFBibTeX XMLCite \textit{M. Abbas} et al., Filomat 30, No. 6, 1413--1429 (2016; Zbl 1461.54066) Full Text: DOI