Minimax inequalities for vector-valued mappings on \(W\)-spaces
The topological KKM theorem of \textit{S. Chang} et al. [J. Math. Anal. Appl. 182, No. 3, 756-767 (1994; Zbl 0830.54037)] is slightly modified. By using this topological KKM theorem, the authors obtain a generalized section theorem and a generalized fixed point theorem on \(W\)-spaces which do not have any linear structure, and establish minimax inequalities for vector-valued mappings in Hausdorff topological vector spaces with closed pointed convex cones.
vector-valued mappings in Hausdorff topological vector spaces with closed pointed convex cones
scientific article; zbMATH DE number 902507