Abstract and Applied Analysis (Jan 2013)

Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces

  • Kyung Soo Kim

DOI
https://doi.org/10.1155/2013/381715
Journal volume & issue
Vol. 2013

Abstract

Read online

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.