Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence resul...
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| 格式: | 雜誌 |
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2018
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| 在線閱讀: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449701669&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59727 |
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| 總結: | We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Banach space. Copyright © 2009 C. Klin-eam and S. Suantai. |
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