RGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98981120191230Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series506167984710.30495/maca.2019.679847ENSamiraHadi BonabDepartment of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, IranRasoulAbazariDepartment of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, IranAliBagheri VakilabadDepartment of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, IranJournal Article20190502This 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.https://www.macajournal.com/article_679847_2fe087d8285680d650e287402f4674f2.pdf