We show that the set of stably solvable maps from an infinite dimensional Banach space into itself is not open in the topological space of the continuous selfmaps of . The question of whether or not this set is open is related to nonlinear spectral theory and was posed in .
Cite this article
Massimo Furi, Stably Solvable Maps are Unstable under Small Perturbations. Z. Anal. Anwend. 21 (2002), no. 1, pp. 203–208DOI 10.4171/ZAA/1072