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Suppose that K is a nonempty closed convex subset of a complete CAT(0) space X with the nearest point projection P from X onto K. Let T:K&#x2192;X be a nonexpansive nonself mapping with F(T):={x&#x2208;K:Tx=x}&#x2260;&#x2205;. Suppose  that {xn} is generated iteratively by x1&#x2208;K, xn+1=P((1&#x2212;&#x03B1;n)xn&#x2295;&#x03B1;nTP[(1&#x2212;&#x03B2;n)xn&#x2295;&#x03B2;nTxn]), n&#x2265;1, where {&#x03B1;n} and {&#x03B2;n} are real sequences in [&#x03B5;,1&#x2212;&#x03B5;] for some &#x03B5;&#x2208;(0,1). Then {xn}&#x0394;-converges to some point x&#x2217; in F(T). This is an analog of a result in Banach spaces of Shahzad (2005) and extends a result of Dhompongsa and Panyanak (2008) to the case of nonself mappings

Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces