Essentiality and fixed point results for Eilenberg-Montgomery type maps

Volume 22, Issue 4, pp 392--398 http://dx.doi.org/10.22436/jmcs.022.04.07

Publication Date: September 07, 2020 Submission Date: June 11, 2020 Revision Date: July 15, 2020 Accteptance Date: July 30, 2020

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Authors

Donal O'Regan - School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland.

Abstract

In this paper we establish topological transversality theorems so in particular general Leray-Schauder type alternatives and general Furi-Pera type results for Eilenberg-Montgomery type maps.

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Keywords

• Eilenberg-Montgomery maps
• essential maps
• Leray-Schauder alternatives
• continuation theory

MSC

•  47H10
•  54C60
•  54H25
•  55M20

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