Some Convergence Theorems for Contractive Type Mappings inCAT(0) Spaces | Zendy

Kyung Soo Kim | Zendy

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Some Convergence Theorems for Contractive Type Mappings inCAT(0) Spaces

Author(s) -

Kyung Soo Kim

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/381715

Subject(s) - mathematics , convergence (economics) , type (biology) , scheme (mathematics) , fixed point , pure mathematics , fixed point theorem , space (punctuation) , discrete mathematics , mathematical analysis , computer science , ecology , economics , biology , economic growth , operating system

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

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