A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems
© 2017 by the Tusi Mathematical Research Group. In this article, we prove some properties of a demicontractive mapping defined on a nonempty closed convex subset of a Hilbert space. By using these properties, we obtain strong convergence theorems of a hybrid shrinking projection method for finding a...
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th-cmuir.6653943832-403032017-09-28T04:08:48Z A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems Suantai S. Phuengrattana W. © 2017 by the Tusi Mathematical Research Group. In this article, we prove some properties of a demicontractive mapping defined on a nonempty closed convex subset of a Hilbert space. By using these properties, we obtain strong convergence theorems of a hybrid shrinking projection method for finding a common element of the set of common fixed points of a finite family of demicontractive mappings and the set of com- mon solutions of a finite family of variational inequality problems in a Hilbert space. A numerical example is presented to illustrate the proposed method and convergence result. Our results improve and extend the corresponding results existing in the literature. 2017-09-28T04:08:48Z 2017-09-28T04:08:48Z 3 Journal 17358787 2-s2.0-85024865473 10.1215/17358787-2017-0010 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024865473&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40303 |
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© 2017 by the Tusi Mathematical Research Group. In this article, we prove some properties of a demicontractive mapping defined on a nonempty closed convex subset of a Hilbert space. By using these properties, we obtain strong convergence theorems of a hybrid shrinking projection method for finding a common element of the set of common fixed points of a finite family of demicontractive mappings and the set of com- mon solutions of a finite family of variational inequality problems in a Hilbert space. A numerical example is presented to illustrate the proposed method and convergence result. Our results improve and extend the corresponding results existing in the literature. |
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Journal |
| author |
Suantai S. Phuengrattana W. |
| spellingShingle |
Suantai S. Phuengrattana W. A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| author_facet |
Suantai S. Phuengrattana W. |
| author_sort |
Suantai S. |
| title |
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| title_short |
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| title_full |
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| title_fullStr |
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| title_full_unstemmed |
A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| title_sort |
hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024865473&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40303 |
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