TY - GEN AU - Medina Sabino, Rubén AU - Quilis, Andrés PY - 2024 UR - https://hdl.handle.net/10481/96618 AB - We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any non-singleton compact and convex subset is continuous but not uniformly continuous. The space we construct is locally... LA - eng PB - American Mathematical Society TI - Non-uniformly continuous nearest point maps DO - 10.1090/proc/16916 ER -