Fixed Point Results for Increasing Mapping and the Relationship Between (Relative) Algebraic Interior and Topological Interior

In this paper, we show that the relative algebraic interior is a suitable replacement for both of the topological interior and the algebraic interior for the cases where these are empty. Also, we present some properties of (relative) algebraic interior and some fixed point theorems for increasing mapping. The obtained results can be viewed as an extension and improvement of the known corresponding results. Also, some examples are to support our conclusions considered