Open Access

Continuation theory for general contractions in gauge spaces

Fixed Point Theory and Applications20042004:391090

https://doi.org/10.1155/S1687182004403027

Received: 9 March 2004

Published: 26 August 2004

Abstract

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

(1)
Department of Mathematics, Technical University of Cluj
(2)
Department of Applied Mathematics, Babeş-Bolyai University of Cluj

Copyright

© Chiş and Precup 2004