Publication:
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings

Issued Date

2009-12-01

Resource Type

Article

ISSN

16870409
10853375

DOI

10.1155/2009/297565

Other identifier(s)

2-s2.0-74849116696

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Abstract and Applied Analysis. Vol.2009, (2009)

Suggested Citation

Suthep Suantai, Watcharaporn Cholamjiak Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings. Abstract and Applied Analysis. Vol.2009, (2009). doi:10.1155/2009/297565 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/27771

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Title

Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings

Author(s)

Suthep Suantai
 Watcharaporn Cholamjiak

Other Contributor(s)

Chiang Mai University
 Mahidol University

Abstract

We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mappings in a Hilbert space. The results improve and extend the corresponding ones announced by Kim and Xu (2006) and Nakajo and Takahashi (2003). © 2009 W. Cholamjiak and S. Suantai.

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/27771

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