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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Main Authors: | , , |
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Format: | Article |
Published: |
Yokohama Publishers
2015
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Subjects: | |
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 |
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. |
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