The antipodal mapping theorem and difference equations in Banach spaces

Daniel Franco; Donal O'Regan; Juan Peran

doi:10.1080/10236190500331305

The antipodal mapping theorem and difference equations in Banach spaces

Daniel Franco
, Donal O'Regan
, Juan Peran

Mathematics

Universidad Nacional de Educación a Distancia (UNED)

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

1 Citation (Scopus)

Abstract

We employ the Borsuk-Krasnoselskii antipodal theorem to prove a new fixed point theorem in ordered Banach spaces. Then, the applicability of the result is shown by presenting sufficient conditions for the existence of solutions to initial value problems for first-order difference equations in Banach spaces. To prove that result we shall employ set valued analysis techniques.

Original language	English
Pages (from-to)	1037-1047
Number of pages	11
Journal	Journal of Difference Equations and Applications
Volume	11
Issue number	12
DOIs	https://doi.org/10.1080/10236190500331305
Publication status	Published - 1 Oct 2005

Keywords

Antipodal theorem
Banach spaces
Difference equations
Set valued analysis

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Franco, D;O'Regan, D;Peran, J

Access to Document

10.1080/10236190500331305

Cite this

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abstract = "We employ the Borsuk-Krasnoselskii antipodal theorem to prove a new fixed point theorem in ordered Banach spaces. Then, the applicability of the result is shown by presenting sufficient conditions for the existence of solutions to initial value problems for first-order difference equations in Banach spaces. To prove that result we shall employ set valued analysis techniques.",

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AB - We employ the Borsuk-Krasnoselskii antipodal theorem to prove a new fixed point theorem in ordered Banach spaces. Then, the applicability of the result is shown by presenting sufficient conditions for the existence of solutions to initial value problems for first-order difference equations in Banach spaces. To prove that result we shall employ set valued analysis techniques.

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KW - Banach spaces

KW - Difference equations

KW - Set valued analysis

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DO - 10.1080/10236190500331305

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The antipodal mapping theorem and difference equations in Banach spaces

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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