Research Article A Note on Implicit Functions in Locally Convex Spaces

An implicit function theorem in locally convex spaces is proved. As an application we study the stability, with respect to a parameter λ, of the solutions of the Hammerstein equation x λKFx in a locally convex space. Copyright q 2009 M. Tavernise and A. Trombetta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1