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

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  • Kyung Soo Kim

Abstract

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.

Suggested Citation

  • Kyung Soo Kim, 2013. "Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:381715
    DOI: 10.1155/2013/381715
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    References listed on IDEAS

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    1. Ulrich Kohlenbach & Laurenţiu Leuştean, 2003. "Mann iterates of directionally nonexpansive mappings in hyperbolic spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2003(8), pages 449-477.
    2. Ulrich Kohlenbach & Laurentiu Leustean, 2003. "Mann iterates of directionally nonexpansive mappings in hyperbolic spaces," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-29, January.
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