非紧完备L-凸度量空间中的GLKKM定理及其对变分不等式和不动点的应用

A GLKKM Type Theorem for Noncompact Complete $L$-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points

中文关键词:  L-凸度量空间  非紧性测度  转移紧开(闭)  变分不等式  截口  极大元  不动点.

英文关键词:$L$-convex metric space  noncompact measure  transfer compactly open (closed)  variational inequality  section  maximal element  fixed point.

中文摘要:

      在非紧完备L-凸度量空间中建立了一个新的GLKKM定理.作为应用,研究了变分不等式的解集、相交点集、Ky Fan截口和极大元集的性质,获得了一个Fan-Browder不动点定理.

英文摘要:

      In this paper, a new GLKKM type theorem is established for noncompact complete $L$-convex metric spaces. As applications, the properties of the solution set of variational inequalities, intersection point sets, Ky Fan sections and maximal element sets are shown, and a Fan-Browder fixed point theorem is obtained.