background: the salvage proximal femoral osteotomy is performed in mild or moderate osteoarthritis when the articulating surfaces are normal and relieves the subject’s pain. because the importance of angular mal-alignment of the femur bone at the hip junction accurate pre-op planning based on patient specific anatomy is required to prevent any lower limb misalignment and joint problem pre-opera...

abstract   background: to evaluate proximal junctional segment changes in adolescent idiopathic scoliosis(ais) the posterior spinal fusion and also instrumentation also and finding of probable risk factors, were all considered in this study.   methods: we retrospectively reviewed radiographs of 121 consecutive patients who underwent posterior spinal fusion for ais from t3 or below, with a mean ...

Objective - The aim of this study was to measure the ratio of bone cortex (C) to bone diameter (D), (C/D) in radius/tibia, metacarpus /metatarsus and proximal phalanges in fore and hindlimbs to be used as a diagnostic guide in metabolic and nutritional diseases in Minature Donkey. Design- Experimental study Animals- Eight adult Minature donkeys. Procedures- Lateromedial, dorsopalmar and dors...

The cementless Vektor hip prosthesis stem is made of a special titanium alloy (TiAI6Nb7), and has a three-dimensional conus and an optimal proximal anchoring property. The aim of this prospective study was to scrutinise the first clinical and radiographical experiences of this stem used in 206 total hip replacements. The mean age of the patients including 126 women and 80 men was 54.6 years (ra...

In this paper, we consider a class of nonsmooth sum-of-ratios fractional optimization problems with block structure. This model is ubiquitous and encompasses several important in the literature. We first propose an inertial proximal coordinate method for solving by exploiting underlying The global convergence our guaranteed under Kurdyka--Lojasiewicz (KL) property some mild assumptions. then id...

In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuz...

The MM principle is a device for creating optimization algorithms satisfying the ascent or descent property. The current survey emphasizes the role of the MM principle in nonlinear programming. For smooth functions, one can construct an adaptive interior point method based on scaled Bregman barriers. This algorithm does not follow the central path. For convex programming subject to nonsmooth co...

A key procedure in proximal bundle methods for convex minimization problems is the definition of stability centers, which are points generated by the iterative process that successfully decrease the objective function. In this paper we study a different stability-center classification rule for proximal bundle methods. We show that the proposed bundle variant has three particularly interesting f...

It is known, by Rockafellar (SIAM J Control Optim 14:877–898, 1976), 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 37:239–252, 1996) introduced the new prox-Tikhonov regularization method for PPA to generate a strongly convergent sequence and established a...

— In this paper, we deal with sweeping processes on (possibly infinitedimensional) Riemannian Hilbert manifolds. We extend the useful notions (proximal normal cone, prox-regularity) already defined in the setting of a Hilbert space to the framework of such manifolds. Especially we introduce the concept of local prox-regularity of a closed subset in accordance with the geometrical features of th...