Continuation theory for general contractions in gauge spaces
© Chiş and Precup 2004
Received: 9 March 2004
Published: 26 August 2004
A continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive map on a gauge space and in particular yields homotopy invariance results for several types of generalized contractions.