Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping
We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/603186 |
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| _version_ | 1832548726735896576 |
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| author | Xian Wang Jun-min Chen Hui Tong |
| author_facet | Xian Wang Jun-min Chen Hui Tong |
| author_sort | Xian Wang |
| collection | DOAJ |
| description | We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved. |
| format | Article |
| id | doaj-art-1fddd8de524640729bc685048fb253a0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1fddd8de524640729bc685048fb253a02025-02-03T06:13:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/603186603186Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive MappingXian Wang0Jun-min Chen1Hui Tong2College of Mathematics and Computer, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer, Hebei University, Baoding 071002, ChinaWe introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.http://dx.doi.org/10.1155/2014/603186 |
| spellingShingle | Xian Wang Jun-min Chen Hui Tong Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping Journal of Applied Mathematics |
| title | Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping |
| title_full | Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping |
| title_fullStr | Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping |
| title_full_unstemmed | Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping |
| title_short | Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping |
| title_sort | iterative schemes by a new generalized resolvent for a monotone mapping and a relatively weak nonexpansive mapping |
| url | http://dx.doi.org/10.1155/2014/603186 |
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