ABSTRACT: In this paper, we introduce and study a new class of parametric general quasivariational-like inequalities and system of parametric general quasivariational-like inequalities, respectively, establish the existence and uniqueness as well as sensitivity analysis of solutions for the parametric general quasivariational-like inequalities and the system of parametric general quasivariational-like inequalities, respectively. We also construct two iterative algorithms for the system of parametric general quasivariational-like inequalities and prove some convergence results of iterative sequences generated by the algorithms. Our results extend the corresponding results in [6,16,17,34-36,41,43,44]. 2000 Mathematics Subject Classification: 47J20, 49J40.
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