Document Type : Original Article
1 Department of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, Iran
2 Department of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, Iran
This research tends to focus on proving the results of coupled fixed point in partially ordered cone metric spaces by imposing some condition on a self-mapping and a sequence of mappings via $\alpha$-series. The $\alpha$-series are wider than the convergent series. Furthermore, an example is provided to illustrate the results.