首页|On symmetric gH-derivative: Applications to dual interval-valued optimization problems
On symmetric gH-derivative: Applications to dual interval-valued optimization problems
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NSTL
Elsevier
This paper provides a complete study on properties of symmetric gH-derivative. More precisely, a necessary and sufficient condition for the symmetric gH-differentiability of interval-valued functions is presented. Further, we clarify the relationship between the symmetric gH-differentiability and gH-differentiability. Moreover, quasimean value theorem, chain rule and some operations of symmetric gH-differentiable interval-valued functions are established. As applications, we develop the Mond-Weir duality theory for a class of symmetric gHdifferentiable interval-valued optimization problems. Weak, strong and strict converse duality theorems are formulated and proved. Also, several examples are presented in order to support the corresponding theoretical results. (C) 2022 Elsevier Ltd. All rights reserved.
NSTL
Elsevier
