局部L-一致空间中下半连续映射的不动点定理

Fixed Point Theorems of Lower Semicontinuous Mapping in Locally L-uniform Spaces

在没有任何线性结构的L-空间证明了一个L-KKM型定理,利用此L-KKM型定理在L-一致空间内对紧下半连续映射建立了一个新的几乎不动点定理,并进一步得到不动点定理.

An L-KKM type theorem is first proved in L-spaces without any linear structure. By using the L-KKM type theorem, a new almost fixed point theorem for the lower semicontinuous compact mapping is obtained in locally L-uniform spaces, then a fixed point theorem is established.