Fixed Point of Strong Duality Pseudocontractive Mappings and Applications
Let E be a smooth Banach space with the dual , an operator is said to be α-strong duality pseudocontractive if , for all , where α is a nonnegative constant. An element is called a duality fixed point of T if . The purpose of this paper is to introduce the definition of α-strong duality pseudocont...
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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/10.1155/2012/623625 |
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| _version_ | 1832549537279901696 |
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| author | Baowei Liu |
| author_facet | Baowei Liu |
| author_sort | Baowei Liu |
| collection | DOAJ |
| description | Let E be a smooth Banach space with the dual , an operator is said to be α-strong duality pseudocontractive if , for all , where α is a nonnegative constant. An element is called a duality fixed point of T if . The purpose of this paper is to introduce the definition of α-strong duality pseudocontractive mappings and to study its fixed point problem and applications for operator equation and variational inequality problems. |
| format | Article |
| id | doaj-art-bb53318f54874eb2b1af6b5dbbcd4d88 |
| 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-bb53318f54874eb2b1af6b5dbbcd4d882025-02-03T06:11:10ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/623625623625Fixed Point of Strong Duality Pseudocontractive Mappings and ApplicationsBaowei Liu0Department of Mathematics, Cangzhou Normal University, Cangzhou 061001, ChinaLet E be a smooth Banach space with the dual , an operator is said to be α-strong duality pseudocontractive if , for all , where α is a nonnegative constant. An element is called a duality fixed point of T if . The purpose of this paper is to introduce the definition of α-strong duality pseudocontractive mappings and to study its fixed point problem and applications for operator equation and variational inequality problems.http://dx.doi.org/10.1155/2012/623625 |
| spellingShingle | Baowei Liu Fixed Point of Strong Duality Pseudocontractive Mappings and Applications Abstract and Applied Analysis |
| title | Fixed Point of Strong Duality Pseudocontractive Mappings and Applications |
| title_full | Fixed Point of Strong Duality Pseudocontractive Mappings and Applications |
| title_fullStr | Fixed Point of Strong Duality Pseudocontractive Mappings and Applications |
| title_full_unstemmed | Fixed Point of Strong Duality Pseudocontractive Mappings and Applications |
| title_short | Fixed Point of Strong Duality Pseudocontractive Mappings and Applications |
| title_sort | fixed point of strong duality pseudocontractive mappings and applications |
| url | http://dx.doi.org/10.1155/2012/623625 |
| work_keys_str_mv | AT baoweiliu fixedpointofstrongdualitypseudocontractivemappingsandapplications |