-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces | Zendy

Luoyi Shi | Zendy; Ru Dong Chen | Zendy; Yu Jing Wu | Zendy

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-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Author(s) -

Luoyi Shi,

Ru Dong Chen,

Yu Jing Wu

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 - 10.1155/2013/251705

Subject(s) - mathematics , convergence (economics) , fixed point , regular polygon , iterative and incremental development , pure mathematics , weak convergence , mathematical analysis , discrete mathematics , geometry , computer science , software engineering , economics , economic growth , computer security , asset (computer security)

New △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. Consider an asymptotically nonexpansive self-mapping of a closed convex subset of a CAT(0) space . Consider the iteration process , where is arbitrary and or for , where . It is shown that under certain appropriate conditions on △-converges to a fixed point of

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