Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series

Hadi Bonab, Samira; Abazari, Rasoul; Bagheri Vakilabad, Ali

doi:10.30495/maca.2019.679847

Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series

https://doi.org/10.30495/maca.2019.679847

Volume 1, Issue 1 - Serial Number 1

Journal of Mathematical Analysis and its Contemporary Applications

Winter 2019

Pages 50-61

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Samira Hadi Bonab ¹

Rasoul Abazari ¹

Ali Bagheri Vakilabad ²

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

² Department of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, Iran

Abstract

This 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.

Keywords

$alpha$-series