A continuous extension that preserves concavity, monotonicity and Lipschitz continuity

Name: A continuous extension that preserves concavity, monotonicity and Lipschitz continuity
Creator: Carvajal, Andres
Keywords: Faculty of History and Social Science\Economics, 510, 620

Carvajal, Andres

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Royal Holloway Research

Report . 2004

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https://doi.org/10.32468/be.23...

Report . 2003

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https://dx.doi.org/10.32468/be...

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A continuous extension that preserves concavity, monotonicity and Lipschitz continuity

descriptionPublicationkeyboard_double_arrow_right Report , Other literature type 01 Jan 2003 United Kingdom Publisher:Banco de la República

Authors: Carvajal, Andres;

doi: 10.32468/be.230

A continuous extension that preserves concavity, monotonicity and Lipschitz continuity

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Abstract

The following is proven here: let W : X × C −→ R ,w hereX is convex, be a continuous and bounded function such that for each y ∈ C, the function W (·,y ): X −→ R is concave (resp. strongly concave; resp. Lipschitzian with constant M; resp. monotone; resp. strictly monotone) and let Y ⊇ C .I fC is compact, then there exists a continuous extension of W, U : X × Y −→ £ infX×C W, supX×C W ¤ ,s uch that for eachy ∈ Y ,

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United Kingdom

Related Organizations

Brown University
United States
Royal Holloway University of London
United Kingdom

Keywords

Faculty of History and Social Science\Economics, 510, 620

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