It is known, by Rockafellar [SIAM J. Control Optim., 14 (1976), 877898], that the proximal point algorithm (PPA) converges weakly to a zero of a maximal monotone operator in a Hilbert space, but it fails to converge strongly. Lehdili and Moudafi [Optimization, 37(1996), 239-252] introduced the new proxTikhonov regularization method for PPA to generate a strongly convergent sequence and establis...

In many modern machine learning applications, structures of underlying mathematical models often yield nonconvex optimization problems. Due to the intractability of nonconvexity, there is a rising need to develop efficient methods for solving general nonconvex problems with certain performance guarantee. In this work, we investigate the accelerated proximal gradient method for nonconvex program...

Mucosal enterokinase activity was established at intervals throughout the small intestine in guinea-pigs; maximum activity was present in the duodenum and proximal jejunum in new born as well as adult animals. Transposition of 5 cm lengths of small gut from the high enterokinase containing proximal region to the distal intestine and vice versa showed that mucosal enterokinase activity in the tr...

Investment in public and mass transit can be viewed as amenities for adjacent and proximal businesses and commercial properties thereby increasing their sale value. Bus rapid transit is a cheaper alternative to light and heavy rail, requiring fewer modifications of existing transit infrastructure. Lane Transit District (LTD) located in Eugene/Springfield, Oregon has operated a BRT system known ...

Objectives: Herbal medicine is known as a valid alternative treatment. Salvia Reuterana, which has been used in the Iranian traditional medicine, is mostly distributed in the central highlands of Iran. Salvia Reuterana is a medicinal herb with various therapeutic usages. The aim of the present review is to take account of pharmacological properties of Salvia Reuterana. Materials and Methods: Th...

The global convergence of ADMM for convex problems was given by He and Yuan in [5] under the variation inequality framework. However, since our optimization problem is non-convex, the convergence analysis for ADMM needs additional conditions. In non-convex optimization, convergence to a stationary point (local minimum) is the best convergence property that we can hope for. By imposing some cond...

Prox-regularity of a set (Poliquin-Rockafellar-Thibault, 2000), or its global version, proximal smoothness (Clarke-Stern-Wolenski, 1995) plays an important role in variational analysis, not only because it is associated with some fundamental properties as the local continuous differentiability of the function dist (C; ·), or the local uniqueness of the projection mapping, but also because in th...

 Proximal humerus fractures are common, but associated injury of the axillary artery is uncommon. The majority of published blunt traumatic axillary artery injuries are associated with anterior glenohumeral dislocation; a few are associated with isolated proximal humerus fractures or fracture-dislocation. Experience within our institution demonstrates that axillary artery injury is often unreco...