Fixed points of contractive dominated mappings on a closed ball in an ordered quasi partial metric space (Q2813395)

Let \((X,\preceq,q)\) be a left \(K\)-sequentially \(0\)-complete (in the sense of [\textit{I. L. Reilly} et al., Monatsh. Math. 93, 127--140 (1982; Zbl 0472.54018)]) ordered quasi-partial metric space (in the sense of [\textit{H. P. A. Künzi} et al., Theor. Comput. Sci. 365, No. 3, 237--246 (2006; Zbl 1109.54021)]). The authors prove some fixed point results for a dominated mapping \(S:X\to X\) under certain locally contractive conditions. An example illustrates the obtained results.