Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213220220701n-tuple fixed point theorems via $\alpha$-series on partially ordered cone metric spaces31153126663210.22075/ijnaa.2022.22704.2404ENHasan HosseinzadehDepartment of Mathematics, Ardabil Branch Islamic Azad University, Ardabil, IranHuseyin IşıkDepartment of Engineering Science, Bandirma Onyedi Eylul University, 10200 Bandirma, Balikesir, TurkeySamira Hadi BonabDepartment of Mathematics, Ardabil BranchIslamic Azad University, Ardabil, IranJournal Article20210218In this research, we prove the results of $n$-tuple fixed point in partially ordered cone metric spaces. We will impose some conditions upon a self-mapping and a sequence of mappings via $\alpha$-series. This series are wider than the convergent series. Also, at the end of this paper, an example is provided to illustrate the results.https://ijnaa.semnan.ac.ir/article_6632_21a3ac822471c10f5068b2002721e9c5.pdf