In this work, we suggest a general viscosity implicit midpoint rule for nonexpansive mapping in the framework of Hilbert space. Further, under certain conditions imposed on sequence parameters, strong convergence theorem is proved by generated proposed iterative scheme, which, addition, unique solution variational inequality problem. Furthermore, provide some applications to inequalities, Fredh...

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BACKGROUND Survival analysis using time-updated CD4+ counts during antiretroviral therapy is frequently employed to determine risk of clinical events. The time-point when the CD4+ count is assumed to change potentially biases effect estimates but methods used to estimate this are infrequently reported. METHODS This study examined the effect of three different estimation methods: assuming i) a...

The authors' previous study with an eye camera revealed that when asked to mark the centre of a line patients with left unilateral spatial neglect persist in fixating a point on its right part and place the subjective midpoint there without searching leftwards. The present study examined the patterns of leftward search of nine patients with left unilateral spatial neglect when they were require...

We present two new experimental methods of realizing the desired kinematics in a filament stretching rheometer. Due to the presence of the rigid plates connecting the fluid filament in this device, a homogeneous uniaxial elongational flow cannot be imposed throughout the entire fluid filament. However, if the fluid element at the midpoint of the filament is forced to contract in the same manner...

In this paper, we present a novel Lagrangian formulation of the equations of motion for point vortices on the unit 2-sphere. We show first that no linear Lagrangian formulation exists directly on the 2-sphere but that a Lagrangian may be constructed by pulling back the dynamics to the 3-sphere by means of the Hopf fibration. We then use the isomorphism of the 3-sphere with the Lie group SU(2) t...