Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103334
Title: Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings
Authors: Agarwal, R.P. 
Huang, N.J.
Cho, Y.J.
Keywords: Iterative algorithm
Mixed implicit quasi-variational inclusion
Perturbed algorithm with errors
Set-valued mapping
Stability
Issue Date: Dec-2002
Source: 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
URI: http://scholarbank.nus.edu.sg/handle/10635/103334
ISSN: 10255834
Appears in Collections:Staff Publications

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