Mudasir Younıs

Perimetric Hardy--Rogers and Interpolative Contractions with a Hyers--Ulam Estimate

We study self-maps of a metric space that contract the perimeter of atriangle, in the sense of Petrov. We introduce a Hardy--Rogers typecondition that combines, in a single linear inequality, the perimeter ofthe image triangle, the displacements of the three vertices, and thecros...