[1]Department of Mathematics, Hunan University of Science and Technology, Xiangtan 411201, China [2]Department of Mathematics, Beijing University of Technology, Beijing 100022, China
Abstract:
In this paper, we establish some new generalized KKM-type theorems based on weakly generalized KKM mapping without any convexity
structure in topological spaces. As applications, some minimax inequalities and an existence theorem of equilibrium points
for an abstract generalized vector equilibrium problem are proved in topological spaces. The results presented in this paper
unify and generalize some known results in recent literature.