Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (7): 905-914.doi: https://doi.org/10.1007/s10483-009-0709-2
方敏1 黄南京2
FANG Min1, HUANG Nan-Jing2
摘要: In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings under suitable conditions in topological spaces. As applications, an existence theorem for an equilibrium problem with lower and upper bounds and two existence theorems for a quasi-equilibrium problem with lower and upper bounds are obtained in topological spaces. Our results generalize some known results in the literature.
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