Title of article
Study on differentiability problems of interval-valued functions
Author/Authors
Bao ، Yu-E - Inner Mongolia University for Nationalities , Li ، Jin-Jun - Inner Mongolia University for Nationalities , Bai ، Eer-Dun - Inner Mongolia Universities
Pages
13
From page
5677
To page
5689
Abstract
In this paper, we give the concepts of H-directional differentiability and D-directional differentiability of interval-valued functions. Then we discuss the properties of H-directional differentiable interval-valued functions and D-directional differentiable interval-valued functions. The necessary and sufficient conditions for the H-directional differentiability are given together with the sufficient conditions and the necessary and sufficient conditions for D-directional differentiability of interval-valued functions. Then we discuss the relationship between the two directional differentiability and prove these directional differentiability can be equivalent under a certain conditions.
Keywords
Hukuhara difference , Hausdorff distance , interval , valued function , H , directional differentiability , D , directional differentiability
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476919
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