Mappings contracting axes of ellipse

This paper deals with a new contractive type mapping known as mapping contracting axes of ellipse. We introduce a mapping that shrinks both the major and minor axes and increases the ecentricity of an ellipse. This is a geometric technique that is connected to the study of geometric characteristics of certain points and curves, and that are fixed by the considered self-mapping over a metric space. The paper is furnished by some suitable examples that support our results and showing that our mapping is distinct from the usual contractive type mappings. Finally a geometric figure is illustrated to describe the true nature of our mapping.