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Viscosity iteration method in CAT(0) spaces without the nice projection property
2015
Journal of Inequalities and Applications
A complete CAT(0) space X is said to have the nice projection property (property N for short) if its metric projection onto a geodesic segment preserves points on each geodesic segment, that is, for any geodesic segment L in X and x, y ∈ X, m ∈ [x, y] implies P L (m) ∈ [P L (x), P L (y)], where P L denotes the metric projection from X onto L. In this paper, we prove a strong convergence theorem of a two-step viscosity iteration method for nonexpansive mappings in CAT(0) spaces without the
doi:10.1186/s13660-015-0801-6
fatcat:hntmokxncve4djdb2og5wc3cl4