L-凸空间中的一个新的GLKKM定理及其对不动点的应用

A New GLKKM Theorem in L-Convex Spaces with the Application to Fixed Points

中文关键词:  L-凸空间  变分不等式  截口  极大元  不动点.

英文关键词:L-convex space  variational inequality  section  maximal element  fixed point.

中文摘要:

      在L-凸空间中建立了一个新的GLKKM定理.作为应用, 获得了L-凸空间中新的变分不等式、截口定理、极大元定理和不动点定理.

英文摘要:

      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.