Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces

摘要

In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup { T s : s ∈ S } in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopological semigroup. Our results improve and extend the corresponding results existing in the literature. MSC:47H09, 47H10.