半度量空间中变分原理及应用

THE VARIATION PRINCIPLE IN SEMI-METRIC SPACE AND APPLICATION

提出了半度量的概念,证明了半度量空间中的Ekeland变分原理及Caristi不动点定理。进而证明了半度量空间中的压缩映像原理。

In this paper,the semimetric concept was put forward and the Ekeland's variation principle and Caristi's fixed point theorem were provedFurthermore, the contraction mapping principle in semimetric space was proved