Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space
Summary: We introduce and study variational-like inequalities for generalized pseudomonotone set-valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational-like inequalities for generalized pseudomonotone set-valued mappings in reflexive Banach spaces. The results presented in this paper are generalizations and improvements of the several well-known results in the literature.
scientific article; zbMATH DE number 6670776
scientific article