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June, 2020 Optimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional Derivative
Emrah Karaman, Mustafa Soyertem, İlknur Atasever Güvenç
Taiwanese J. Math. 24(3): 709-722 (June, 2020). DOI: 10.11650/tjm/190604

Abstract

In this study, a new directional derivative is defined by using Minkowski difference. Some properties and existence theorems of this directional derivative are given. Moreover, necessary and sufficient optimality conditions are presented for set-valued optimization problems with respect to $m_1$ order relation via directional derivative.

Citation

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Emrah Karaman. Mustafa Soyertem. İlknur Atasever Güvenç. "Optimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional Derivative." Taiwanese J. Math. 24 (3) 709 - 722, June, 2020. https://doi.org/10.11650/tjm/190604

Information

Received: 30 October 2018; Revised: 22 February 2019; Accepted: 17 June 2019; Published: June, 2020
First available in Project Euclid: 19 May 2020

zbMATH: 07251194
MathSciNet: MR4100716
Digital Object Identifier: 10.11650/tjm/190604

Subjects:
Primary: 80M50, 90C26

Rights: Copyright © 2020 The Mathematical Society of the Republic of China

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Vol.24 • No. 3 • June, 2020
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