A fixed point theorem for mappings on the ${\ell }_{\infty }$-sum of a metric space and its application

Jacek Jachymski, Łukasz Maślanka, Filip Strobin

The aim of this paper is to prove a counterpart of the Banach fixed point principle for mappings $f:{\ell }_{\infty }(X)\to X$, where $X$ is a metric space and ${\ell }_{\infty }(X)$ is the…