GENERALIZED STOLZ MAPPINGS

Abstract

In this paper, we introduce the class of generalized Stolz mappings. Also we prove that the class of $\ell ^{p}-$-type mappings is included in the class of generalized Stolz mappings and give a new quasinorm equivalent with $\Vert T\Vert_{\phi_{(p)}}$. Finally, we present some properties of the class of generalized Stolz mappings.