Dimri, Ramesh Chandra; Prasad, Gopi Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spaces. (English) Zbl 1371.54178 Commun. Korean Math. Soc. 32, No. 2, 375-387 (2017). Summary: In this paper, we prove some coincidence point theorems involving \(\varphi\)-contraction in ordered partial metric spaces. We also extend newly introduced notion of \(g\)-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces. Cited in 4 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:ordered partial metric space; \(g\)-comparable mappings; ICU property; TCC property PDFBibTeX XMLCite \textit{R. C. Dimri} and \textit{G. Prasad}, Commun. Korean Math. Soc. 32, No. 2, 375--387 (2017; Zbl 1371.54178) Full Text: DOI