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

摘要

In this paper, we introduce and study a class of new generalized nonlinear mixed quasi-variational inclusions involving non-monotone set-valued mappings with noncompact values and construct a new iterative algorithm. And proved the existence of solutions for this kind of generalized nonlinear mixed quasi-variational inclusions and the convergence of the iterative sequence generated by the algorithm. Those results improve and extend the corresponding results in the recently literatures.