SENSITIVITY ANALYSIS OF PARAMETRIC VECTOR SET-VALUED OPTIMIZATION PROBLEMS VIA CODERIVATIVES

X. W. Xue; S. J. Li; C. M. Liao; Jen-Chih Yao

doi:10.11650/twjm/1500406484

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Home > Journals > Taiwanese J. Math. > Volume 15 > Issue 6 > Article

2011 SENSITIVITY ANALYSIS OF PARAMETRIC VECTOR SET-VALUED OPTIMIZATION PROBLEMS VIA CODERIVATIVES

X. W. Xue, S. J. Li, C. M. Liao, Jen-Chih Yao

Taiwanese J. Math. 15(6): 2533-2554 (2011). DOI: 10.11650/twjm/1500406484

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Abstract

In this paper, by virtue of coderivatives, we investigate sensitivity analysis of parametric vector set-valued optimization problems in Banach spaces. Several examples are provided to illustrate the main results.

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X. W. Xue. S. J. Li. C. M. Liao. Jen-Chih Yao. "SENSITIVITY ANALYSIS OF PARAMETRIC VECTOR SET-VALUED OPTIMIZATION PROBLEMS VIA CODERIVATIVES." Taiwanese J. Math. 15 (6) 2533 - 2554, 2011. https://doi.org/10.11650/twjm/1500406484

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Published: 2011

First available in Project Euclid: 18 July 2017

zbMATH: 1246.49023

MathSciNet: MR2896131

Digital Object Identifier: 10.11650/twjm/1500406484

Subjects:

Primary: 49J53 , 49K40 , 90C29 , 90C31

Keywords: (Fréchet) coderivative , (Fréchet) normal cone , efficient point set-valued map , parametric set-valued optimization , sensitivity analysis

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Taiwanese J. Math.

Vol.15 • No. 6 • 2011

Mathematical Society of the Republic of China

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X. W. Xue, S. J. Li, C. M. Liao, Jen-Chih Yao "SENSITIVITY ANALYSIS OF PARAMETRIC VECTOR SET-VALUED OPTIMIZATION PROBLEMS VIA CODERIVATIVES," Taiwanese Journal of Mathematics, Taiwanese J. Math. 15(6), 2533-2554, (2011)

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