广义非扩张集值映射的一个不动点定理

A Fixed Point Theorem for Generalized Nonexpansive Set-Valued Mappings

证明在Banach 空间中具有Opial 条件的弱紧凸集合上,多值平均非扩张自映射存在不动点,这一结论在单值情形下首次得到.

In this paper,a fixed point theorem is established for generalizednonexpansive set-valued mappings defined on the weak compact convex subsetof the Banach space with Opial condition.In the case of single valued mapping,the result presented here has been obtained perhaps for the first time.