Publication:
Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings

Issued Date

2010-08-01

Resource Type

Article

ISSN

1751570X

DOI

10.1016/j.nahs.2009.12.003

Other identifier(s)

2-s2.0-77955589557

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Nonlinear Analysis: Hybrid Systems. Vol.4, No.3 (2010), 524-530

Suggested Citation

Watcharaporn Cholamjiak, Suthep Suantai Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings. Nonlinear Analysis: Hybrid Systems. Vol.4, No.3 (2010), 524-530. doi:10.1016/j.nahs.2009.12.003 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29013

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Title

Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings

Author(s)

Watcharaporn Cholamjiak
 Suthep Suantai

Other Contributor(s)

Chiang Mai University
 Mahidol University

Abstract

In this paper, we prove a weak convergence theorem for the modified Mann iteration process for a uniformly Lipschitzian and asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two new kinds of monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and asymptotically quasi-nonexpansive mappings in a Hilbert space. The results of this paper improve on and extend corresponding ones announced by many authors. © 2009.

Keyword(s)

Computer Science
 Engineering
 Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/29013

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Scopus 2006-2010