Tripled coincidence point theorems for nonlinear contractions in partially ordered metric spaces (Q456484)

Summary: Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by \textit{V. Berinde} and \textit{M. Borcut} [Nonlinear Anal., Theory Methods Appl., Ser.~A, Theory Methods 74, No.~15, 4889--4897 (2011; Zbl 1225.54014)]. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.