The prooposition for an CAK-generalized nonexpansive mapping in Hilbert spaces

Abstract

In this paper, we introduce a new class of nonexpansive type of mapping namely, CAK-generalized nonexpansive mapping, which is more general than an AK-generalized nonexpansive mapping and $\alpha$-nonexpansive mapping. Then, we obtain the proposition of the approximation method for an CAK-generalized nonexpansive in Hilbert spaces.