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Continuation theory for general contractions in gauge spaces

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.

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Correspondence to Adela Chiş.

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Chiş, A., Precup, R. Continuation theory for general contractions in gauge spaces. Fixed Point Theory Appl 2004, 391090 (2004). https://doi.org/10.1155/S1687182004403027

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  • DOI: https://doi.org/10.1155/S1687182004403027