Fixed point theorems for a new class of nonexpansive mappings

Abstract

We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.

Keywords

• α-nonexpansive
• opial property
• condition (c)