التفاصيل البيبلوغرافية
| العنوان: |
Perturbation of Image and conjugate duality for vector optimization. |
| المؤلفون: |
You, Manxue1 (AUTHOR) cqdxymx@163.com, Li, Shengjie2 (AUTHOR) lisj@cqu.edu.cn |
| المصدر: |
Journal of Industrial & Management Optimization. Mar2022, Vol. 18 Issue 2, p731-745. 15p. |
| مصطلحات موضوعية: |
DUALITY theory (Mathematics), CLASSICAL conditioning, CONCEPT mapping, IMAGE analysis, CONSTRAINED optimization |
| مستخلص: |
This paper aims at employing the image space approach to investigate the conjugate duality theory for general constrained vector optimization problems. We introduce the concepts of conjugate map and subdifferential by using two types of maximums. We also construct the conjugate duality problems via a perturbation method. Moreover, the separation condition is proposed by means of vector weak separation functions. Then, it is proved to be a new sufficient condition, which ensures the strong duality theorem. This separation condition is different from the classical regular conditions in the literature. Simultaneously, the application to a nonconvex multi-objective optimization problem is shown to verify our main results. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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