Generalized nonlinear quasi-variational-like inequalities for set-valued mappings in Banach spaces

In this paper, we introduce and study a new class of generalized nonlinear quasi-variational-like inequalities for set-valed mappings in Banach spaces. Using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized nonlinear quasivariational-like inequalities for set-valued mappings in Banach spaces. Our results extend and improve some main results of Verma.