Open Access

Continuation theory for general contractions in gauge spaces

Fixed Point Theory and Applications20042004:391090

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.

Authors’ Affiliations

Department of Mathematics, Technical University of Cluj, Cluj-Napoca, Romania
Department of Applied Mathematics, Babeş-Bolyai University of Cluj, Cluj-Napoca, Romania


© Chiş and Precup 2004