Coupled common fixed point theorems for \(w^{\ast }\)-compatible mappings in ordered cone metric spaces (Q426581)

From the abstract: ``We establish coupled coincidence point results for mixed g-monotone mappings under general contractive conditions in partially ordered cone metric spaces over solid cones.''NEWLINENEWLINEBy a coupled coincidence point of \(F:X\times X\to X\) and \(g:X\to X\), the authors mean \((x,y)\in X\times X\) with \(gx=F(x,y)\) and \(gy=F(y,x)\), while a common coupled fixed point of these maps is a point \((x,y)\in X\times X\) with \(x=gx=F(x,y)\) and \(y=gy=F(y,x)\).NEWLINENEWLINEThe results are generalizations of the corresponding ones presented in [\textit{E. Karapinar}, Comput. Math. Appl. 59, No. 12, 3656--3668 (2010; Zbl 1198.65097)], [\textit{W. Shatanawi}, Comput. Math. Appl. 60, No. 8, 2508--2515 (2010; Zbl 1205.54044)] and [\textit{M. Abbas}, \textit{M. A. Khan} and \textit{S. Radenović}, Appl. Math. Comput. 217, No. 1, 195--202 (2010; Zbl 1197.54049)].