[PDF][PDF] Upper and lower estimates for a Fréchet normal cone
NT Qui - Acta Math. Vietnam, 2011 - journals.math.ac.vn
Acta Math. Vietnam, 2011•journals.math.ac.vn
This paper investigates upper and lower estimates for the Fréchet normal cone to the graph
of a normal cone mapping related to a linear inequality system in a reflexive Banach space
under right-hand side perturbations. Our results develop some material in the recent papers
of Yao and Yen [8], and Nam [6]. In particular, by constructing suitable counterexamples, we
solve the two open questions of [8] in the negative.
of a normal cone mapping related to a linear inequality system in a reflexive Banach space
under right-hand side perturbations. Our results develop some material in the recent papers
of Yao and Yen [8], and Nam [6]. In particular, by constructing suitable counterexamples, we
solve the two open questions of [8] in the negative.
Abstract
This paper investigates upper and lower estimates for the Fréchet normal cone to the graph of a normal cone mapping related to a linear inequality system in a reflexive Banach space under right-hand side perturbations. Our results develop some material in the recent papers of Yao and Yen [8], and Nam [6]. In particular, by constructing suitable counterexamples, we solve the two open questions of [8] in the negative.
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