We establish theorems of strong convergence, for the Ishikawa-type (or two step; cf. Ishikawa, 1974) iteration scheme, to a fixed point of a uniformly L-Lipschitzian asymptotically demicontractive mapping and a uniformly L-Lipschitzian hemicontractive mapping in CAT(0) space. Moreover, we will propose some open problems.
"Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/381715