We define a mean nonexpansive mapping T on X in the sense that , . It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness theorems of fixed point.
Zhanfei Zuo. "Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces." Abstr. Appl. Anal. 2014 (SI05) 1 - 6, 2014. https://doi.org/10.1155/2014/746291