Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property (Q395209)

Coupled coincidence point and common coupled fixed point problems are considered in partially ordered cone metric spaces in the sense of [\textit{L.-G. Huang} and \textit{X. Zhang}, J. Math.\ Anal.\ Appl.\ 332, No.~2, 1468--1476 (2007; Zbl 1118.54022)]. Some results are proved using a property introduced in [\textit{D. Đorić}, \textit{Z. Kadelburg} and \textit{S. Radenović}, Appl.\ Math.\ Lett.\ 25, No.~11, 1803--1808 (2012; Zbl 1295.54097)] instead of the usual mixed monotone property. An appropriate example is presented.