Banach空间中多值映象的不动点定理

Fixed Point Theorems of Multivalued Mappings in Banach Space

本文中我们首先证明了一个不动点定理，同时从压缩及弱内向两个方向推广了压缩弱内向映象的不动点定理［１，２］．在后两节中讨论了Ｂａｎａｃｈ空间中无界闭子集上的不动点定理，所得结果推广了［３，４］中相应定理．

In this paper,firstly we extend,from two aspects: fixed point theorems of contraction and weakly inwardness mappings. Then we discuss nonexpansive mapping defined on an unbounded dosed subset of a Banach space. Our results generalize corresponding theorems of [l￣4].