Cho, Yeol Je; He, Guang; Huang, Nan-Jing The existence results of coupled quasi-solutions for a class of operator equations. (English) Zbl 1200.47075 Bull. Korean Math. Soc. 47, No. 3, 455-465 (2010). The authors of the paper under review study the existence of coupled quasi-solutions of a certain nonlinear operator equation posed over a Banach space, using the semi-order method. Under certain sufficient conditions (which are too technical to be mentioned here), they prove two new existence results. Reviewer: K. C. Sivakumar (Chennai) Cited in 11 Documents MSC: 47H10 Fixed-point theorems 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces Keywords:cone; partial order; mixed monotone operator; relatively weakly compact set; coupled quasi-solutions PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Bull. Korean Math. Soc. 47, No. 3, 455--465 (2010; Zbl 1200.47075) Full Text: DOI