Continuation theory for general contractions in gauge spaces


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.


Adela Chiș
Department of Mathematics, Technical University of Cluj, Cluj-Napoca, Romania

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania



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A. Chiș, R. Precup, Continuation theory for general contractions in gauge spaces, Fixed Point Theory and Applications 2004:3 (2004), 173-185,


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MR 2096949

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