Recently, Karapınar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the
class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In
this paper, we investigate SKC mappings to get a criterion to guarantee a fixed point,
via extending the results proved by Karapınar and Tas into the class of CAT(0) spaces.
Further, by using Ishikawa-type iteration scheme for two mappings, we derive
approximation fixed point sequence. Our results extend, improve and unify some
existing results in this direction, such as (Nonlinear Anal. Hybrid Syst. 4:25-31, 2010) by
Nanjaras et al. or (Comput. Math. Appl. 61:109-116, 2011) by Khan and Abbas.