Fixed point theorems for some generalized nonexpansive mappings in CAT(0) spaces

In this paper, at rst we introduce C condition, which is weaker than -nonexpansivityand present some xed point theorems for mappings satisfying this condition, in CAT(0) spaces.Our results extend and improve some results in [6]. In the sequal, we introduce fundamentalynonexpansive mapping which generalizes the Suzuki's generalized nonexpansive mapping and con-sequently we give some xed point results for this kind of mappings.