Personal, semantic and communicational aspects of helping among adolescents.

Background: The main research question of the article is how the perception of help and the style of interpersonal relations are connected. In a broad sense, the question refers to the problem of constant and situational variables of prosocial activity. The main methodological framework is Vygotsky's cultural-historical psychology, in particular, the mechanism of interiorization and the interaction of interpsychological and intrapsychological processes.

The Split Common Fixed Point Problem for Directed Operators.

We propose the split common fixed point problem that requires to find a common fixed point of a family of operators in one space whose image under a linear transformation is a common fixed point of another family of operators in the image space. We formulate and analyze a parallel algorithm for solving this split common fixed point problem for the class of directed operators and note how it unifies and generalizes previously discussed problems and algorithms.

On the String Averaging Method for Sparse Common Fixed Points Problems.

We study the common fixed point problem for the class of directed operators. This class is important because many commonly used nonlinear operators in convex optimization belong to it. We propose a definition of sparseness of a family of operators and investigate a string-averaging algorithmic scheme that favorably handles the common fixed points problem when the family of operators is sparse.