On symmetric gH-derivative: Applications to dual interval-valued optimization problems

Yating Guo, Guoju Ye, Wei Liu, Dafang Zhao and Savin Treanţă

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: 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, quasi-mean 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 gH-differentiable 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.

Keywords: Interval-valued functions; Symmetric gH-derivative; Mond–Weir dual (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002788

DOI: 10.1016/j.chaos.2022.112068

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