Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions

AbstractIn this paper, we introduce a new class of generalized nonlinear implicit quasi-variational inclusions and prove its equivalence with a class of fixed point problems by making use of the properties of maximal monotone. We also prove the existence of solutions for this generalized nonlinear implicit quasi-variational inclusions and the convergence of iterative sequences generated by the perturbed algorithms