The coincidence point results and rational contractions in E(s)-distance spaces

The purpose of this article is to clarify the concept of semi-interior points of positive cones by presenting some results and examples in this context.  Moreover, the new concept of E(s)-distance spaces is defined, which generalizes E-metric spaces. In addition, some coincidence point results have been obtained that extend and generalize some known results in the literature.

Keywords:

E-distance space , E(s)-distance space , coincidence point , fixed point , rational contraction