New results on linearly perturbed polyhedral normal cone mappings |
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Authors: | Nguyen Thanh Qui |
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Institution: | College of Information and Communication Technology, Can Tho University, 1 Ly Tu Trong, Can Tho, Viet Nam |
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Abstract: | This paper establishes an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the linearly perturbed normal cone mappings in reflexive Banach spaces. In comparison with Nam (2010) 5], Qui (in press) 8], Qui (2011) 7], Trang (2010) 9], the major advantage of our investigation is that here neither the linear independence condition nor the positively linear independence condition are used. Thus, no assumption on the normal vectors of the active constraints at the point in question is needed. Some aspects of the preceding results (Henrion, Mordukhovich and Nam (2010) 3], Nam (2009) 5], Qui (2011) 7], Yao and Yen (2009) 10], Yao and Yen (2009) 11]) are developed. |
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Keywords: | Perturbed polyhedral convex set Normal cone mapping Fré chet coderivative Mordukhovich coderivative Estimates |
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