Some fixed point theorems on algebraic cone metric spaces

In this paper, we prove some fixed point theorems for self-mappings on an algebraic cone metric space. These results are related to the product of the cone, and improve some well-known results by inserting an algebraic cone \PP instead of \mathbb{R}^{+}.

Keywords:

Cone metric space , algebraic cone , Riesz space , \alpha-property , property (C) , property (E)