International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 3115-3126
  • Receive Date: 18 February 2021
  • Revise Date: 26 January 2022
  • Accept Date: 02 February 2022