Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities
We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallel S-iteration process have been proposed and the strong convergence of the seq...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/5847096 |
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| author | D. R. Sahu Shin Min Kang Ajeet Kumar |
| author_facet | D. R. Sahu Shin Min Kang Ajeet Kumar |
| author_sort | D. R. Sahu |
| collection | DOAJ |
| description | We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallel S-iteration process have been proposed and the strong convergence of the sequences generated by these parallel iteration processes is discussed. Numerical example illustrates that the proposed parallel S-iteration process has an advantage over parallel Mann iteration process in computing altering points of some mappings. |
| format | Article |
| id | doaj-art-b5e430a6ba4c4cebaef5750da5894da8 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b5e430a6ba4c4cebaef5750da5894da82025-02-03T01:32:46ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/58470965847096Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational InequalitiesD. R. Sahu0Shin Min Kang1Ajeet Kumar2Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Republic of KoreaDepartment of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, IndiaWe consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallel S-iteration process have been proposed and the strong convergence of the sequences generated by these parallel iteration processes is discussed. Numerical example illustrates that the proposed parallel S-iteration process has an advantage over parallel Mann iteration process in computing altering points of some mappings.http://dx.doi.org/10.1155/2017/5847096 |
| spellingShingle | D. R. Sahu Shin Min Kang Ajeet Kumar Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities Journal of Function Spaces |
| title | Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities |
| title_full | Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities |
| title_fullStr | Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities |
| title_full_unstemmed | Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities |
| title_short | Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities |
| title_sort | convergence analysis of parallel s iteration process for system of generalized variational inequalities |
| url | http://dx.doi.org/10.1155/2017/5847096 |
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