ON THE GENERALIZED NONLINEAR QUASI-VARIATIONAL INCLUSIONS INVOLVING NON-MONOTONE SET-VALUED MAPPINGS

Abstract

We introduce a new kind of generalized nonlinear quasi variational inclusions involving non-monotone set-valued mappings with noncompact values and construct some new iterative algorithms for solving this class of generalized nonlinear quasi variational inclusions in Hilbert spaces. We also discuss the convergence and stability of a new perturbed Ishikawa iterative algorithm for solving a class of generalized nonlinear quasi variational inclusions involving non-monotone single-valued mappings.