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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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024865473&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46998 |
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| Institution: | Chiang Mai University |
| Summary: | © 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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