Fixed Point Theorems on the Third Class of Nonexpansive Mappings
Pan Zheng · 2000
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.