Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities
A new system of extended general nonlinear regularized nonconvex set-valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set-valued variational inequalities and the fixed point problems is verified. Then, by this equivalent...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/690648 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849405909028044800 |
|---|---|
| author | Javad Balooee Yeol Je Cho Mee Kwang Kang |
| author_facet | Javad Balooee Yeol Je Cho Mee Kwang Kang |
| author_sort | Javad Balooee |
| collection | DOAJ |
| description | A new system of extended general nonlinear regularized nonconvex set-valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set-valued variational inequalities and the fixed point problems is verified. Then, by this equivalent formulation, a new perturbed projection iterative algorithm with mixed errors for finding a solution of the aforementioned system is suggested and analyzed. Also the convergence of the suggested iterative algorithm under some suitable conditions is proved. |
| format | Article |
| id | doaj-art-4f2aa82026a94bc5a9f4924ff4e0e8a5 |
| 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-4f2aa82026a94bc5a9f4924ff4e0e8a52025-08-20T03:36:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/690648690648Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational InequalitiesJavad Balooee0Yeol Je Cho1Mee Kwang Kang2Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, IranDepartment of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Dongeui University, Pusan 614–714, Republic of KoreaA new system of extended general nonlinear regularized nonconvex set-valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set-valued variational inequalities and the fixed point problems is verified. Then, by this equivalent formulation, a new perturbed projection iterative algorithm with mixed errors for finding a solution of the aforementioned system is suggested and analyzed. Also the convergence of the suggested iterative algorithm under some suitable conditions is proved.http://dx.doi.org/10.1155/2012/690648 |
| spellingShingle | Javad Balooee Yeol Je Cho Mee Kwang Kang Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities Journal of Applied Mathematics |
| title | Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities |
| title_full | Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities |
| title_fullStr | Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities |
| title_full_unstemmed | Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities |
| title_short | Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities |
| title_sort | projection methods and a new system of extended general regularized nonconvex set valued variational inequalities |
| url | http://dx.doi.org/10.1155/2012/690648 |
| work_keys_str_mv | AT javadbalooee projectionmethodsandanewsystemofextendedgeneralregularizednonconvexsetvaluedvariationalinequalities AT yeoljecho projectionmethodsandanewsystemofextendedgeneralregularizednonconvexsetvaluedvariationalinequalities AT meekwangkang projectionmethodsandanewsystemofextendedgeneralregularizednonconvexsetvaluedvariationalinequalities |