Some coincidence point theorems for gmonotone increasing multi-valued mappings in cone metric spaces over Banach algebras

In this paper, in partially ordered cone metric spaces over Banach algebras, we introduce the concept of g-monotone mappings and prove some coincidence point theorems for multi-valued and single-valued g-monotone increasing mappings satisfying certain metric inequalities which are established by an altering distance function. The presented results extend and improve some recent results. An illustrative example is given to support our results.