Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 14 (2019), 287 -- 305

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A NEW CONCEPT OF DIFFERENTIABILITY FOR INTERVAL-VALUED FUNCTIONS

Vasile Lupulescu and Donal O'Regan

Abstract. In this paper we propose a new concept of differentiability for interval-valued functions. This concept is based on the properties of the Hausdorff-Pompeiu metric and avoids using the generalized Hukuhara difference.

2010 Mathematics Subject Classification: 26A06: 26A99: 46G05; 46G99.
Keywords: Interval-valued function, Generalized Hukuhara derivative.

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Vasile Lupulescu
Constantin Brancusi University from Targu-Jiu,
Republicii 1, 210152 Targu-Jiu, Romania.
e-mail: lupulescu_v@yahoo.com

Donal O'Regan
School of Mathematics, Statistics and Applied Mathematics,
National University of Ireland,
Galway, Ireland.
e-mail: donal.oregan@nuigalway.ie

http://www.utgjiu.ro/math/sma