We introduce and study a new class of nonlinear general A-monotone operator equations with multivalued operator. By using Alber’s inequalities, Nalder’s results, and the new proximal mapping technique, we construct some new perturbed iterative algorithms with mixed errors for solving the nonlinear general A-monotone operator equations and study the approximationsolvability of the nonlinear oper...

*Correspondence: [email protected] Department of Mathematics, King Saud University, Riyadh, Saudi Arabia Abstract Consider a non-self-mapping T : A→ B, where (A,B) is a pair of nonempty subsets of a metric space (X ,d). In this paper, we study the existence and uniqueness of solutions to the global optimization problem minx∈A d(x, Tx), where T belongs to the class of proximal quasi-contraction ...

We describe refinements in optogenetic methods for circuit mapping that enable measurements of functional synaptic connectivity with single-neuron resolution. By expanding a two-photon beam in the imaging plane using the temporal focusing method and restricting channelrhodopsin to the soma and proximal dendrites, we are able to reliably evoke action potentials in individual neurons, verify spik...

We have recently developed image processing techniques for measuring the cortical thicknesses of skeletal structures in vivo, with resolution surpassing that of the underlying computed tomography system. The resulting thickness maps can be analysed across cohorts by statistical parametric mapping. Applying these methods to the proximal femurs of osteoporotic women, we discover targeted and appa...

BACKGROUND Complete bidirectional isthmus conduction block (CBIB) was initially assessed by sequential detailed activation mapping at both sides of the ablation line during proximal coronary sinus and anteroinferior right atrium pacing. Mapping only the ablation line ("on-site" atrial potential analysis) was recently reported as a means of CBIB identification. The study was designed to compare ...

In this paper, we develop new first-order method for composite non-convex minimization problems with simple constraints and inexact oracle. The objective function is given as a sum of `hard', possibly part, `simple' convex part. Informally speaking, oracle inexactness means that, the `hard' at any point can approximately calculate value construct quadratic function, which bounds from above. We ...

background and aims. digital radiographs have some advantages over conventional ones. application of digital receptors is not routine yet. therefore, there is a need for digitizing conventional radiographs. the aim of the present study was to compare the diagnostic accuracy of digitized conventional radiographs by scanner and camera in detection of proximal caries. material and methods. three h...

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 unrecog...

subluxation of the proximal interphalangeal joint (pipj or pastern joint) is an uncommon condition that occurs in the forelimb or hindlimb. thoroughbred racehorses rarely show dorsal pastern subluxation (thoroughbred ringbone) secondarily to an injury to the soft tissues supporting the fetlock. a 4-year-old thoroughbred mare was presented with signs of lameness, swelling of the dorsal aspect of...