Unusual Presentation of Brain Aspergillosis in Chronic Granulomatous Disease

Aspergillus is a frequently observed pathogen in patients with chronic granulomatous disease. We report on a patient with chronic granulomatous disease and severe brain aspergillosis with an unusual presentation and favorable course. We discuss the impact of this infection on morbidity and mortality, adequate therapeutic management, and the need to investigate a possible fungal infection, despite nonspecific signs. (C) 2010 by Elsevier Inc. All rights reserved.

On Approximate KKT Condition and its Extension to Continuous Variational Inequalities

In this work, we introduce a necessary sequential Approximate-Karush-Kuhn-Tucker (AKKT) condition for a point to be a solution of a continuous variational inequality, and we prove its relation with the Approximate Gradient Projection condition (AGP) of Garciga-Otero and Svaiter. We also prove that a slight variation of the AKKT condition is sufficient for a convex problem, either for variational inequalities or optimization. Sequential necessary conditions are more suitable to iterative methods than usual punctual conditions relying on constraint qualifications. The AKKT property holds at a solution independently of the fulfillment of a constraint qualification, but when a weak one holds, we can guarantee the validity of the KKT conditions.