A unified theory for homotopy principles for multimaps |
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Authors: | Donal O'Regan |
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Affiliation: | 1. School of Mathematics, Statistics and Applied Mathematics , National University of Ireland , Galway , Ireland donal.oregan@nuigalway.ie |
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Abstract: | In this article, we present a definition of d-essential and d–L-essential maps in completely regular topological spaces and we establish a homotopy property for both d-essential and d–L-essential maps. Also using the notion of extendability, we present new continuation theorems. |
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Keywords: | continuation methods d-essential fixed points |
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