Fixed point results for generalized mappings

In this paper, first we establish fixed point results for weak asymptotic pointwise contraction type mappings in metric spaces. Then we study the existence of fixed points for weak asymptotic pointwise nonexpansive type mappings in CAT(0) spaces. Our results improve and extend some corresponding known results in the literature.

asymptotic center; asymptotic pointwise contraction type; convexity structure; T-stable; weak asymptotic pointwise nonexpansive type; CAT(0) space