central to vygotsky-inspired sociocultural theory (sct) is the notion of zpd seen by sla researchers as a useful framework within which l2 teaching and learning can take place. van lier (2004) argues that the zpd could be activated in diverse proximal contexts (pcs) and is not limited to the expert-novice scenario. . this study probed whether iranian efl learners' collaborative task performance...

Although prox-regular functions in general are nonconvex, they possess properties that one would expect to find in convex or lowerC2  functions. The class of prox-regular functions covers all convex functions, lower C2  functions and strongly amenable functions. At first, these functions have been identified in finite dimension using proximal subdifferential. Then, the definition of prox-regula...

Disclosures: KP and GT are inventors on a patent application related to the Cortical Bone Mapping technique: GB0917524.1, "Image data processing systems." Abstract Regular exercisers have lower fracture risk, despite modest effects of exercise on BMC. Exercise may produce localised cortical and trabecular bone changes that affect bone strength independently of BMC. We previously demonstrated th...

The equilibrium problem defined by the Nikaidô–Isoda–Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others special cases. This paper presents picture for relationship between points Moreau proximal mapping solutions that satisfies some kinds monotonicity Lipschitz-type condition.

This paper explores certain best proximity point expansions for a novel class of non-self-mapping S : P ? Q and T called generalized proximal C-contractions the first second kinds. We expose many examples to justify our obtained results. Considerable fixed results are evolved as consequence main theorems.

We generalize Newton-type methods for minimizing smooth functions to handle a sum of two convex functions: a smooth function and a nonsmooth function with a simple proximal mapping. We show that the resulting proximal Newton-type methods inherit the desirable convergence behavior of Newton-type methods for minimizing smooth functions, even when search directions are computed inexactly. Many pop...

statement of problem: dental caries is one of the common diseases in the world. it is an infective disease which is caused by loss of minerals and destruction of dental tissues. one of the most effective ways to diagnose the interproximal caries is radiography. bitewing radiography is the best way for caries diagnosis. purpose: the aim of this study was to evaluate the prevalence of the interpr...

In this paper we introduce an inexact proximal point algorithm using proximal distances for solving variational inequality problems when the mapping is pseudomonotone or quasimonotone. Under some natural assumptions we prove that the sequence generates by the algorithm is convergent for the pseudomonotone case and weakly convergent for the quasimonotone ones. This approach unifies the results o...