Fixed Point Theorems in Product Spaces
Tadeusz Kuczumow · Proceedings of the American Mathematical Society · 1990
If ${K_1}$ and ${K_2}$ are nonempty closed weakly compact subsets of Banach spaces and they have the generic fixed point property for nonexpansive mappings, then in the maximum norm ${K_1} \times {K_2}$ has fixed point property for nonexpansive mappings.