On fixed point theorems of nonexpansive mappings in product spaces

Tan, Kok-Keong; Xu, Hong Kun

doi:10.1090/S0002-9939-1991-1062839-6

On fixed point theorems of nonexpansive mappings in product spaces
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by Kok-Keong Tan and Hong Kun Xu PDF

Proc. Amer. Math. Soc. 113 (1991), 983-989 Request permission

Abstract:

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.

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