Linearly perturbed polyhedral normal cone mappings and applications |
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Authors: | Nguyen Thanh Qui |
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Affiliation: | College of Information and Communication Technology, Can Tho University, 1 Ly Tu Trong, Can Tho, Viet Nam |
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Abstract: | Under a mild regularity assumption, we derive an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the normal cone mappings of perturbed polyhedra in reflexive Banach spaces. Our focus point is a positive linear independence condition, which is a relaxed form of the linear independence condition employed recently by Henrion et al. (2010) [1], and Nam (2010) [3]. The formulae obtained allow us to get new results on solution stability of affine variational inequalities under linear perturbations. Thus, our paper develops some aspects of the work of Henrion et al. (2010) [1] Nam (2010) [3] Qui (in press) [12] and Yao and Yen (2009) [6] and [7]. |
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Keywords: | 49J53 49J52 49J40 |
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