Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings
| Autor: | Huang NJ, Cho YJ, Agarwal RP |
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| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2002, Iss 6, p 601878 (2002) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| Popis: | In this paper, we introduce and study a new class of implicit quasi-variational inclusions, which is called the generalized nonlinear mixed implicit quasi-variational inclusion with setvalued mappings. Using the resolvent operator technique for maximal monotone mapping, we construct some new iterative algorithms for solving this class of generalized nonlinear mixed implicit quasi-variational inclusions with non-compact set-valued mappings. We prove the existence of solution for this kind of generalized nonlinear mixed implicit quasivariational inclusions with non-compact set-valued mappings and the convergence of iterative sequences generated by the algorithms. We also discuss the convergence and stability of perturbed iterative algorithm with errors for solving a class of generalized nonlinear mixed implicit quasi-variational inclusions with single-valued mappings. |
| Databáze: | Directory of Open Access Journals |
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