Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems
We introduce a new system of extended general nonlinear variational inclusions with different nonlinear operators and establish the equivalence between the aforesaid system and the fixed point problem. By using this equivalent formulation, we prove the existence and uniqueness theorem for solution o...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/569592 |
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| _version_ | 1832563764745994240 |
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| author | Narin Petrot Javad Balooee |
| author_facet | Narin Petrot Javad Balooee |
| author_sort | Narin Petrot |
| collection | DOAJ |
| description | We introduce a new system of extended general nonlinear variational inclusions with different nonlinear operators and establish the equivalence between the aforesaid system and the fixed point problem. By using this equivalent formulation, we prove the existence and uniqueness theorem for solution of the system of extended general nonlinear variational inclusions. We suggest and analyze a new resolvent iterative algorithm to approximate the unique solution of the system of extended general nonlinear variational inclusions which is a fixed point of a nearly uniformly Lipschitzian mapping. Subsequently, the convergence analysis of the proposed iterative algorithm under some suitable conditions is considered. Furthermore, some related works to our main problem are pointed out and discussed. |
| format | Article |
| id | doaj-art-3afbee4f8ad047158300f05308259395 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3afbee4f8ad047158300f053082593952025-02-03T01:12:36ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/569592569592Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points ProblemsNarin Petrot0Javad Balooee1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Islamic Azad University, Sari Branch, Sari, IranWe introduce a new system of extended general nonlinear variational inclusions with different nonlinear operators and establish the equivalence between the aforesaid system and the fixed point problem. By using this equivalent formulation, we prove the existence and uniqueness theorem for solution of the system of extended general nonlinear variational inclusions. We suggest and analyze a new resolvent iterative algorithm to approximate the unique solution of the system of extended general nonlinear variational inclusions which is a fixed point of a nearly uniformly Lipschitzian mapping. Subsequently, the convergence analysis of the proposed iterative algorithm under some suitable conditions is considered. Furthermore, some related works to our main problem are pointed out and discussed.http://dx.doi.org/10.1155/2012/569592 |
| spellingShingle | Narin Petrot Javad Balooee Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems Abstract and Applied Analysis |
| title | Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems |
| title_full | Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems |
| title_fullStr | Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems |
| title_full_unstemmed | Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems |
| title_short | Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems |
| title_sort | algorithms for solving system of extended general variational inclusions and fixed points problems |
| url | http://dx.doi.org/10.1155/2012/569592 |
| work_keys_str_mv | AT narinpetrot algorithmsforsolvingsystemofextendedgeneralvariationalinclusionsandfixedpointsproblems AT javadbalooee algorithmsforsolvingsystemofextendedgeneralvariationalinclusionsandfixedpointsproblems |