Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces | Zendy

Hafiz Fukhar-ud-din | Zendy; Abdul Rahim Khan | Zendy

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Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

Author(s) -

Hafiz Fukhar-ud-din,

Abdul Rahim Khan

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1643

Subject(s) - mathematics , iterated function , banach space , regular polygon , convergence (economics) , sequence (biology) , domain (mathematical analysis) , fixed point , pure mathematics , iterative and incremental development , discrete mathematics , mathematical analysis , computer science , geometry , software engineering , biology , economics , genetics , economic growth

We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term

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