On fixed point theorems of nonexpansive mappings in product spaces
Kok-Keong Tan, Hong Kun Xu · Proceedings of the American Mathematical Society · 1991
We prove some fixed point theorems for nonexpansive self- and non-self-mappings in product spaces; in particular, we provide a constructive proof of a result of Kirk and Martinez and a partial answer to a question of Khamsi. Our proofs are elementary in the sense that we do not use any universal (or ultra) nets.