H-空间中集值映象的不动点定理

A FIXED POINT THEOREM FOR SET-VALUED MAPPING IN H-SPACE

本文在H-空间的框架下，不依赖于KMM技巧，建立了新的集值映象不动点定理,并且这一结果以赋范空间中的Fan－Glicksberg－Kakutani定理为特例，从而将这一重要定理推至H-空间．

Under the frame of H-space,a new fitxed point theorem for set-valued mapping is established without using KMM techique, which takes the Fan-Glicksberg-Kakutani theorem in normed space as its particular case so that exlends this important theorem to H-space.