Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces
The aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. The method allows us to obtain a strong convergence iteration for finding some fixed points of a strict ps...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/232765 |
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| author | Kasamsuk Ungchittrakool |
| author_facet | Kasamsuk Ungchittrakool |
| author_sort | Kasamsuk Ungchittrakool |
| collection | DOAJ |
| description | The aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. The method allows us to obtain a strong convergence iteration for finding some fixed points of a strict pseudocontraction in the framework of real Hilbert spaces. In addition, we also provide certain applications of the main theorems to confirm the existence of the zeros of an inverse strongly monotone operator along with its convergent results. |
| format | Article |
| id | doaj-art-fd4be54f204b4bbaa10cf754da36d90f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fd4be54f204b4bbaa10cf754da36d90f2025-02-03T06:08:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/232765232765Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert SpacesKasamsuk Ungchittrakool0Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandThe aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. The method allows us to obtain a strong convergence iteration for finding some fixed points of a strict pseudocontraction in the framework of real Hilbert spaces. In addition, we also provide certain applications of the main theorems to confirm the existence of the zeros of an inverse strongly monotone operator along with its convergent results.http://dx.doi.org/10.1155/2013/232765 |
| spellingShingle | Kasamsuk Ungchittrakool Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces Journal of Applied Mathematics |
| title | Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces |
| title_full | Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces |
| title_fullStr | Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces |
| title_full_unstemmed | Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces |
| title_short | Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces |
| title_sort | existence and convergence theorems by an iterative shrinking projection method of a strict pseudocontraction in hilbert spaces |
| url | http://dx.doi.org/10.1155/2013/232765 |
| work_keys_str_mv | AT kasamsukungchittrakool existenceandconvergencetheoremsbyaniterativeshrinkingprojectionmethodofastrictpseudocontractioninhilbertspaces |