Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings
<p/> <p>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 constr...
| Published in: | Journal of Inequalities and Applications |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2002-01-01
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| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/7/601878 |
| Summary: | <p/> <p>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.</p> |
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| ISSN: | 1025-5834 1029-242X |