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  • Research Article
  • Open Access

Continuation theory for general contractions in gauge spaces

Fixed Point Theory and Applications20042004:391090

  • Received: 9 March 2004
  • Published:


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, 400020, Romania
Department of Applied Mathematics, Babeş-Bolyai University of Cluj, Cluj-Napoca, 400084, Romania


© Chiş and Precup 2004