Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities
A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of generalized parametric nonlinear quasivariational...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1795 |
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| _version_ | 1832562928457351168 |
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| author | Zeqing Liu Beibei Zhu Shin Min Kang Gwang Il Kim |
| author_facet | Zeqing Liu Beibei Zhu Shin Min Kang Gwang Il Kim |
| author_sort | Zeqing Liu |
| collection | DOAJ |
| description | A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of
generalized parametric nonlinear quasivariational inequalities and a class of fixed point problems is proved and an iterative algorithm with errors is constructed. A few existence and
uniqueness results and sensitivity analysis of solutions are also established for the system of generalized nonlinear parametric quasivariational inequalities and some convergence results of iterative sequence generated by the algorithm with errors are proved. |
| format | Article |
| id | doaj-art-1665554bedf7484ea4ffa9726513211c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1665554bedf7484ea4ffa9726513211c2025-02-03T01:21:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005111795180710.1155/IJMMS.2005.1795Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalitiesZeqing Liu0Beibei Zhu1Shin Min Kang2Gwang Il Kim3Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, ChinaDepartment of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, ChinaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, KoreaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, KoreaA new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of generalized parametric nonlinear quasivariational inequalities and a class of fixed point problems is proved and an iterative algorithm with errors is constructed. A few existence and uniqueness results and sensitivity analysis of solutions are also established for the system of generalized nonlinear parametric quasivariational inequalities and some convergence results of iterative sequence generated by the algorithm with errors are proved.http://dx.doi.org/10.1155/IJMMS.2005.1795 |
| spellingShingle | Zeqing Liu Beibei Zhu Shin Min Kang Gwang Il Kim Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities International Journal of Mathematics and Mathematical Sciences |
| title | Sensitivity analysis of solutions for a system of generalized
parametric nonlinear quasivariational inequalities |
| title_full | Sensitivity analysis of solutions for a system of generalized
parametric nonlinear quasivariational inequalities |
| title_fullStr | Sensitivity analysis of solutions for a system of generalized
parametric nonlinear quasivariational inequalities |
| title_full_unstemmed | Sensitivity analysis of solutions for a system of generalized
parametric nonlinear quasivariational inequalities |
| title_short | Sensitivity analysis of solutions for a system of generalized
parametric nonlinear quasivariational inequalities |
| title_sort | sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1795 |
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