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

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.

کلیدواژه ها:

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