第三类非扩张映射的不动点定理

Fixed Point Theorems on the Third Class of Nonexpansive Mappings

本文证明了第三类非扩张映射的不动点定理。定理一说明了第三类非扩张映射的不动点与另一和它可交换的映射的不动点之间的关系 ;

The theorems on the third class of nonexpansive mappings are proved in this paper. Theorem 1 gives the relationship between the fixed point set of a third class of nonexpansive mappings and other fixed point set of a mapping which can exchange with it. Existence theorem of a common fixed point for a family of a third class of nonexpansive mappings is proved.