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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-70449701669&partnerID=40&md5=c3bb0725d0d49593808715c483866bda http://cmuir.cmu.ac.th/handle/6653943832/5770 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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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