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Open AccessArticle

gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization

by Yating Guo 1, Guoju Ye 1,*, Dafang Zhao 1,2 and Wei Liu 1
1
College of Science, Hohai University, Nanjing 210098, China
2
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1203; https://doi.org/10.3390/sym11101203
Received: 2 September 2019 / Revised: 23 September 2019 / Accepted: 24 September 2019 / Published: 25 September 2019
(This article belongs to the Special Issue Advance in Nonlinear Analysis and Optimization)
In this paper, we present the gH-symmetrical derivative of interval-valued functions and its properties. In application, we apply this new derivative to investigate the Karush–Kuhn–Tucker (KKT) conditions of interval-valued optimization problems. Meanwhile, some examples are worked out to illuminate the obtained results. View Full-Text
Keywords: interval-valued functions; gH-symmetrically derivative; KKT optimality conditions interval-valued functions; gH-symmetrically derivative; KKT optimality conditions
MDPI and ACS Style

Guo, Y.; Ye, G.; Zhao, D.; Liu, W. gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization. Symmetry 2019, 11, 1203.

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