New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings
Iterative methods for pseudocontractions have been studied by many authors in the literature. In the present paper, we firstly propose a new iterative method involving sunny nonexpansive retractions for pseudocontractions in Banach spaces. Consequently, we show that the suggested algorithm converges...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/207896 |
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| _version_ | 1832550726968016896 |
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| author | Yaqin Zheng Jinwei Shi |
| author_facet | Yaqin Zheng Jinwei Shi |
| author_sort | Yaqin Zheng |
| collection | DOAJ |
| description | Iterative methods for pseudocontractions have been studied by many authors in the literature. In the present paper, we firstly propose a new iterative method involving sunny nonexpansive retractions for pseudocontractions in Banach spaces. Consequently, we show that the suggested algorithm converges strongly to a fixed point of the pseudocontractive mapping which also solves some variational inequality. |
| format | Article |
| id | doaj-art-c93faa27c4ec450f877ff993e6d85955 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c93faa27c4ec450f877ff993e6d859552025-02-03T06:06:04ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/207896207896New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive MappingsYaqin Zheng0Jinwei Shi1College of Science, Agricultural University of Hebei, Baoding 071001, ChinaNorth China Electric Power University, Baoding 071003, ChinaIterative methods for pseudocontractions have been studied by many authors in the literature. In the present paper, we firstly propose a new iterative method involving sunny nonexpansive retractions for pseudocontractions in Banach spaces. Consequently, we show that the suggested algorithm converges strongly to a fixed point of the pseudocontractive mapping which also solves some variational inequality.http://dx.doi.org/10.1155/2012/207896 |
| spellingShingle | Yaqin Zheng Jinwei Shi New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings Abstract and Applied Analysis |
| title | New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings |
| title_full | New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings |
| title_fullStr | New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings |
| title_full_unstemmed | New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings |
| title_short | New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings |
| title_sort | new iterative manner involving sunny nonexpansive retractions for pseudocontractive mappings |
| url | http://dx.doi.org/10.1155/2012/207896 |
| work_keys_str_mv | AT yaqinzheng newiterativemannerinvolvingsunnynonexpansiveretractionsforpseudocontractivemappings AT jinweishi newiterativemannerinvolvingsunnynonexpansiveretractionsforpseudocontractivemappings |