Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces

In this paper, we prove strong convergence theorems by two hybrid methods for finding a common element of the set of zero points of a maximal monotone operator and the set of fixed points of a generalized nonexpansive mapping in a Banach space. Using these results, we obtain new convergence results...

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Bibliographic Details
Main Authors: Inthakon,W., Dhompongsa,S., Takahashi,W.
Format: Article
Published: Yokohama Publishers 2015
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Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84855836668&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38617
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Institution: Chiang Mai University
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Summary:In this paper, we prove strong convergence theorems by two hybrid methods for finding a common element of the set of zero points of a maximal monotone operator and the set of fixed points of a generalized nonexpansive mapping in a Banach space. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and for generalized nonexpansive mappings in a Banach space.