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|Title:||Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings|
|Authors:||Agarwal, R.P. |
Mixed implicit quasi-variational inclusion
Perturbed algorithm with errors
|Citation:||Agarwal, R.P.,Huang, N.J.,Cho, Y.J. (2002-12). Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings. Journal of Inequalities and Applications 7 (6) : 807-828. ScholarBank@NUS Repository.|
|Abstract:||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 set-valued 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 quasi-variational 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.|
|Source Title:||Journal of Inequalities and Applications|
|Appears in Collections:||Staff Publications|
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