Generalized (ξ,α )-Expansive Mappings and Related Fixed-Point Theorems

Abstract

In this paper, we introduce a new class of expansive mappings called generalized (xi,alpha)-expansive mappings and investigate the existence of a fixed point for the mappings in this class. We conclude that several fixed-point theorems can be considered as a consequence of main results. Moreover, some examples are given to illustrate the usability of the obtained results.