Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators
We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with (A,η)-maximal relaxed monotone operators, we construct some new iterative...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/698593 |
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| _version_ | 1832557131033739264 |
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| author | Ting-jian Xiong Heng-you Lan |
| author_facet | Ting-jian Xiong Heng-you Lan |
| author_sort | Ting-jian Xiong |
| collection | DOAJ |
| description | We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with (A,η)-maximal relaxed monotone operators, we construct some new iterative algorithms for finding approximation solutions to the general system of set-valued variational inclusion problem and prove the convergence of this algorithm. Our results improve and extend some known results. |
| format | Article |
| id | doaj-art-d06be7c0d021470bb779920f80336549 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d06be7c0d021470bb779920f803365492025-02-03T05:43:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/698593698593Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone OperatorsTing-jian Xiong0Heng-you Lan1Department of Mathematics, Sichuan University of Science & Engineering, Zigong, Sichuan 643000, ChinaDepartment of Mathematics, Sichuan University of Science & Engineering, Zigong, Sichuan 643000, ChinaWe introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with (A,η)-maximal relaxed monotone operators, we construct some new iterative algorithms for finding approximation solutions to the general system of set-valued variational inclusion problem and prove the convergence of this algorithm. Our results improve and extend some known results.http://dx.doi.org/10.1155/2014/698593 |
| spellingShingle | Ting-jian Xiong Heng-you Lan Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators Journal of Applied Mathematics |
| title | Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators |
| title_full | Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators |
| title_fullStr | Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators |
| title_full_unstemmed | Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators |
| title_short | Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators |
| title_sort | iterative algorithms for new general systems of set valued variational inclusions involving a η maximal relaxed monotone operators |
| url | http://dx.doi.org/10.1155/2014/698593 |
| work_keys_str_mv | AT tingjianxiong iterativealgorithmsfornewgeneralsystemsofsetvaluedvariationalinclusionsinvolvingaēmaximalrelaxedmonotoneoperators AT hengyoulan iterativealgorithmsfornewgeneralsystemsofsetvaluedvariationalinclusionsinvolvingaēmaximalrelaxedmonotoneoperators |