The Leray-Schauder Principle in Geodesic Spaces

The Leray-Schauder Principle in Geodesic Spaces

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Publicado en 3C TIC – Volume 11 Issue 2 (Ed. 41)

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Abstract

The essential maps introduced by Granas in 1976 is a best tool for proving continuation results for compact maps. Several authors modified this idea to different scenarios. This is a review article, here, we consider the continuation results based on essential maps and the Leray-Schauder principle in the setting of uniquely geodesic spaces [20].

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Keywords

Γ−uniquely geodesic spaces, Essential maps, Fixed point, Leray Schauder principle

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