Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results,...
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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-s2.0-79958147738&partnerID=40&md5=38ef6a33dc477a807f2ba1d42ae8d737 http://cmuir.cmu.ac.th/handle/6653943832/6555 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces. |
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