Journal of Inequalities and Applications (Jan 2000)
Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions
Abstract
In this paper, we introduce a new class of completely generalized strongly nonlinear implicit quasivariational inclusions and prove its equivalence with a class of fixed point problems by using some properties of maximal monotone mappings. We also prove the existence of solutions for the completely generalized strongly nonlinear implicit quasivariational inclusions and the convergence of iterative sequences generated by the perturbed algorithms with errors.