A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications
We prove a strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in Hilbert spaces. We also provide some applications of the main theorem to find a common element of the set of fixed points of a strict pseudocontraction and the set of solutions o...
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| Language: | English |
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Hindawi Limited
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/876819 |
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doaj-937eeb06e4334e578844b2f7a0d57ea92020-11-24T21:00:24ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/876819876819A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and ApplicationsKasamsuk Ungchittrakool0Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandWe prove a strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in Hilbert spaces. We also provide some applications of the main theorem to find a common element of the set of fixed points of a strict pseudocontraction and the set of solutions of an equilibrium problem in Hilbert spaces. The results extend and improve the recent ones announced by Marino and Xu (2007) and others.http://dx.doi.org/10.1155/2010/876819 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kasamsuk Ungchittrakool |
| spellingShingle |
Kasamsuk Ungchittrakool A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications Abstract and Applied Analysis |
| author_facet |
Kasamsuk Ungchittrakool |
| author_sort |
Kasamsuk Ungchittrakool |
| title |
A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications |
| title_short |
A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications |
| title_full |
A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications |
| title_fullStr |
A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications |
| title_full_unstemmed |
A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications |
| title_sort |
strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in hilbert spaces and applications |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2010-01-01 |
| description |
We prove a strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in Hilbert spaces. We also provide some applications of the main theorem to find a common element of the set of fixed points of a strict pseudocontraction and the set of solutions of an equilibrium problem in Hilbert spaces. The results extend and improve the recent ones announced by Marino and Xu (2007) and others. |
| url |
http://dx.doi.org/10.1155/2010/876819 |
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AT kasamsukungchittrakool astrongconvergencetheoremforacommonfixedpointoftwosequencesofstrictlypseudocontractivemappingsinhilbertspacesandapplications AT kasamsukungchittrakool strongconvergencetheoremforacommonfixedpointoftwosequencesofstrictlypseudocontractivemappingsinhilbertspacesandapplications |
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