序集原理与不动点定理

THE PRICINPLE OF SEQUENCE SET AND THE FIXED POINT THEOREM

设E是Banach空间 ,P是E的锥 ,本文利用E中弱紧集的伪可分性 ,给出序集原理并利用序集原理给出增集值映象的不动点定理 ,改进了孙经先[1 ]

Suppose E is a Banach space and P is a cone in E. The principle of sequence set is provided by the pseudo-divisibitity of weakly compact set in the set E and the fixed point theorem for the accretive set-valued mapping is proved with this principle, which generalized the theorem given by Sun Jingxian [1].