Some Results on Fixed Points and Approximation for a New Class of   Mappings in CAT(0) Spaces
  We shall generalize the concept of $z=(1-t)x\oplus ty$ to $n$ times which contains to verifying some their properties and inequalities in CAT(0) spaces. In the sequel with introducing of $\alpha$-nonexpansive mappings, we obtain some fixed points and approximate fixed points theorems. 
Mehdi Asadi, Hossein Soleimani
math.FA