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arxiv: 1207.3949 · v1 · pith:4A6SR7BBnew · submitted 2012-07-17 · 🧮 math.MG

Viscosity iteration in CAT(k) spaces

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keywords algorithmfixednonexpansivepointsspacesviscosityappliedapproximation
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We study the approximation of fixed points of nonexpansive mappings in CAT(k) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.

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