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

Mathematical Analysis and its Contemporary Applications

دوره 1، شماره 1، اردیبهشت 2019، صفحه 50-61   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2019.679847

نویسندگان

Samira Hadi Bonab¹؛ Rasoul Abazari^{* 1}؛ Ali Bagheri Vakilabad²

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

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

چکیده

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.

کلیدواژه‌ها

Cone metric space؛ $alpha$-series؛ Coupled fixed point؛ Coupled coincidence point؛ compatible؛ reciprocally continuous