Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems
We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence gene...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/902437 |
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| author | D. R. Sahu Shin Min Kang Vidya Sagar |
| author_facet | D. R. Sahu Shin Min Kang Vidya Sagar |
| author_sort | D. R. Sahu |
| collection | DOAJ |
| description | We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions. Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings. |
| format | Article |
| id | doaj-art-9ed3a8423c844530be0a681e08fa601d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9ed3a8423c844530be0a681e08fa601d2025-08-20T03:38:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/902437902437Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality ProblemsD. R. Sahu0Shin Min Kang1Vidya Sagar2Department of Mathematics, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Banaras Hindu University, Varanasi 221005, IndiaWe introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions. Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings.http://dx.doi.org/10.1155/2012/902437 |
| spellingShingle | D. R. Sahu Shin Min Kang Vidya Sagar Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems Journal of Applied Mathematics |
| title | Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems |
| title_full | Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems |
| title_fullStr | Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems |
| title_full_unstemmed | Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems |
| title_short | Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems |
| title_sort | approximation of common fixed points of a sequence of nearly nonexpansive mappings and solutions of variational inequality problems |
| url | http://dx.doi.org/10.1155/2012/902437 |
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