Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space
Summary: The class \(\mathfrak A\)-KKM\((X, Y, Z)\) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan's matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.
class \(\mathfrak A\)-KKM\((X, Y, Z)\) mapping
scientific article; zbMATH DE number 7021974