超凸空间上集值映射的Fan型最佳近似不动点定理

Fan type best approximate fixed point theorem for multimap on hyperconvex spaces

摘要: 利用超凸空间上的匹配定理得到Fan型最佳近似不动点定理并作为应用给出了超凸空间的非紧可容许子集上的非自映射的不动点定理.结果对文献中的相应结果进行了一般化和改进.

Abstract: By using the well known matching theorem on hyperconvex space,a Ky Fan type best approximate fixed point theorem is obtained,and then a fixed point theorem for non-self multimap on non-compact admissible subset of a hyperconvex space is given as application.The corresponding results in the recent literature are generalized and improved.