n-tuple fixed point theorems via $\alpha$-series on partially ordered cone metric spaces

نویسندگان
Hosseinzadeh, Hasan ID 1
Işık, Huseyin ID 2
Bonab, Samira Hadi ID 3

1 Department of Mathematics, Ardabil Branch Islamic Azad University, Ardabil, Iran

2 Department of Engineering Science, Bandirma Onyedi Eylul University, 10200 Bandirma, Balikesir, Turkey

3 Department of Mathematics, Ardabil BranchIslamic Azad University, Ardabil, Iran

doi
10.22075/ijnaa.2022.22704.2404
چکیده

In 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.

کلیدواژه‌ها
$alpha$-series, $n$-tuple fixed point, $n$-tuple coincidence point, Cone metric space, Compatible mappings, reciprocally continuous