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

	n-tuple fixed point theorems via $\alpha$-series on partially ordered cone metric spaces
International Journal of Nonlinear Analysis and Applications
مقاله 249، دوره 13، شماره 2، مهر 2022، صفحه 3115-3126 اصل مقاله (399.55 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.22704.2404
نویسندگان
Hasan Hosseinzadeh¹؛ Huseyin Işık^* ²؛ Samira Hadi Bonab³
¹Department of Mathematics, Ardabil Branch Islamic Azad University, Ardabil, Iran
²Department of Engineering Science, Bandirma Onyedi Eylul University, 10200 Bandirma, Balikesir, Turkey
³Department of Mathematics, Ardabil BranchIslamic Azad University, Ardabil, Iran
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
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