In this paper a new GLKKM theorem in L-convex spaces is established. As applications, a new variational inequality, section theorem, maximal element theorem and fixed point theorem are obtained in L-convex spaces.
基金the Natural Science Research Foundation of Guizhou Provincial Education Department(No.2008072)the Natural Science Foundation of Science and Technology Bureau of Bijie Area (No.2008-06)
文摘In this paper a new GLKKM theorem in L-convex spaces is established. As applications, a new variational inequality, section theorem, maximal element theorem and fixed point theorem are obtained in L-convex spaces.