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Abstract
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Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 707406, 6 pages
doi:10.1155/2009/707406

A note on implicit functions in locally convex spaces

Marianna Tavernise and Alessandro Trombetta

Dipartimento di Matematica, Università degli Studi della Calabria, 87036 Arcavacata di Rende (CS), Italy

Abstract

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.