Continuation principles based on essential maps and topological degree

Donal O’Regan

doi:10.1080/00036811.2014.915522

Continuation principles based on essential maps and topological degree

Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we present a definition based on the notion of the degree of a map of (Formula presented.) –essential and (Formula presented.) – (Formula presented.) –essential maps in topological spaces and we establish a homotopy property for both (Formula presented.) –essential and (Formula presented.) – (Formula presented.) –essential maps.

Original language	English
Pages (from-to)	1032-1041
Number of pages	10
Journal	Applicable Analysis
Volume	94
Issue number	5
DOIs	https://doi.org/10.1080/00036811.2014.915522
Publication status	Published - 4 May 2015

Keywords

continuation methods
d–essential
fixed points

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10.1080/00036811.2014.915522

Cite this

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title = "Continuation principles based on essential maps and topological degree",

abstract = "In this paper, we present a definition based on the notion of the degree of a map of (Formula presented.) –essential and (Formula presented.) – (Formula presented.) –essential maps in topological spaces and we establish a homotopy property for both (Formula presented.) –essential and (Formula presented.) – (Formula presented.) –essential maps.",

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AB - In this paper, we present a definition based on the notion of the degree of a map of (Formula presented.) –essential and (Formula presented.) – (Formula presented.) –essential maps in topological spaces and we establish a homotopy property for both (Formula presented.) –essential and (Formula presented.) – (Formula presented.) –essential maps.

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KW - d–essential

KW - fixed points

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DO - 10.1080/00036811.2014.915522

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JO - Applicable Analysis

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Continuation principles based on essential maps and topological degree

Abstract

Keywords

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