Fixed point and convergence theorems for different classes of generalized nonexpansive mappings in CAT(0) spaces

In this paper, we prove the existence of common fixed points in CAT(0) spaces for three different classes of generalized nonexpansive mappings including a quasi-nonexpansive single valued mapping, a pointwise asymptotically nonexpansive mapping, and a multivalued mapping satisfying the conditions (E) and (Cλ)(Cλ) for some λ∈(0,1)λ∈(0,1). Moreover, we introduce an iterative process for these mappings and prove △△-convergence and strong convergence theorems for such an iterative process in CAT(0) spaces.