Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces

Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces

In 2008, Takahashi, Takeuchi and Kubota [10] proved a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalized Nakajo and Takahashi's theorems [6]. Furthermore, they obtained another strong convergence theorem for the family of nonexpansive mapping...

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Main Authors: T. Butsan, S. Dhompongsa, W. Takahashi
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50986
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-509862018-09-04T04:49:26Z Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces T. Butsan S. Dhompongsa W. Takahashi Mathematics In 2008, Takahashi, Takeuchi and Kubota [10] proved a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalized Nakajo and Takahashi's theorems [6]. Furthermore, they obtained another strong convergence theorem for the family of nonexpansive mappings by a hybrid method which is different from Nakajo and Takahashi. In this paper, we extend Takahashi, Takeuchi and Kubota's results for a single relatively nonexpansive mapping or a family of relatively nonexpansive mappings in a Hilbert space. Using these results, we obtain some new strong convergence theorems in a Hilbert space. © 2010 yokohama publishers. 2018-09-04T04:49:26Z 2018-09-04T04:49:26Z 2010-08-01 Journal 18805221 13454773 2-s2.0-84894051431 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50986
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
T. Butsan
S. Dhompongsa
W. Takahashi
Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
description In 2008, Takahashi, Takeuchi and Kubota [10] proved a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalized Nakajo and Takahashi's theorems [6]. Furthermore, they obtained another strong convergence theorem for the family of nonexpansive mappings by a hybrid method which is different from Nakajo and Takahashi. In this paper, we extend Takahashi, Takeuchi and Kubota's results for a single relatively nonexpansive mapping or a family of relatively nonexpansive mappings in a Hilbert space. Using these results, we obtain some new strong convergence theorems in a Hilbert space. © 2010 yokohama publishers.
format Journal
author T. Butsan
S. Dhompongsa
W. Takahashi
author_facet T. Butsan
S. Dhompongsa
W. Takahashi
author_sort T. Butsan
title Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
title_short Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
title_full Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
title_fullStr Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
title_full_unstemmed Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
title_sort strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in hilbert spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50986
_version_ 1681423688304427008

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