局部$G$-凸一致空间上几乎不动点定理和不动点定理

Almost Fixed Point Theorems and Fixed Point Theorems on Locally $G$-Convex Uniform Spaces

中文关键词:  一般化凸空间  $\Gm$-凸的  $S$-KKM性质  局部$G$-凸一致空间.

英文关键词:generalized convex space  $\Gm$-convex  the $S$-KKM property  locally $G$-convex uniform space.

中文摘要:

      得到局部$G$-凸一致空间上具有$S$-KKM性质的集值映射的新的几乎不动点定理和不动点定理.我们的结果对已有文献中的相应结论进行了改进和一般化.

英文摘要:

      New almost fixed point theorems and fixed point theorems for multimap having $S$-KKM property on locally $G$-convex uniform space are obtained. Our results improve and generalize the corresponding results in recent literatures.