Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions
Abstract
In this article, the notions of gH-directional derivative, gH-Gâteaux derivative and gH-Frechet derivative for interval-valued functions are proposed. The existence of gH-Frechet derivative is shown to imply the existence of gH-Gâteaux derivative and the existence of gH-Gâteaux derivative is observed to indicate the presence of gH-directional derivative. For an interval-valued gH-Lipschitz function, it is proved that the existence of gH-Gâteaux...
Paper Details
Title
Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions
Published Date
Feb 1, 2020
Journal
Volume
510
Pages
317 - 340
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