FIXED POINT THEOREMS FOR SOME GENERALIZED NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
In this paper, at first we introduce $C_\alpha$condition, which is weaker than $\alpha$-nonexpansivity and present some fixed point theorems for mappings satisfying this condition, in CAT(0) spaces. Our results extend and improve some results in . In the sequel, we introduce fundamentaly nonexpansive mapping which generalizes the Suzuki's generalized nonexpansive mapping and consequently we give some fixed point results for this kind of mappings.
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