非紧超凸度量空间中的一个新的不动点定理及其对鞍点问题的应用

A New Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to Saddle Point Problems

中文关键词:  超凸度量空间  次允许集  不动点  连续选择  极大元  极大极小不等式  鞍点.

英文关键词:hyperconvex metric space  sub-admissible set  fixed point  continuous selection  maximal element  minimax inequality  saddle point.

中文摘要:

      在非紧超凸度量空间中建立了一个新的不动点定理.作为应用,研究了连续选择及其不动点定理,极大元定理、Ky Fan极大极小不等式和鞍点定理.

英文摘要:

      In this paper, a new fixed point theorem is established in noncompact hyperconvex metric spaces. As applications, a continuous selection and its fixed point theorem, an existence theorem for maximal elements, a Ky Fan minimax inequality and an existence theorem for saddle points are obtained.