In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a $wt$-distance in $b$-metric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally $G$-continuity of mapping and we consider $b$-metric spaces with graph instead of $b$-metric spaces, under which can be gen...

The Centers for Disease Control and Prevention’s recommendation that students, staff, visitors at K-12 schools wear masks indoors, regardless of their COVID-19 vaccination status, led numerous states to issue mask mandates some or all schools. Most the remaining have decided allow school districts do whatever they want around masks, but a few banned local mandates. These developments invite num...

In this paper, we address the problem of estimating a covariance matrix multivariate Gaussian distribution, relative to Stein loss function, from decision theoretic point view. We investigate case where is invertible and when it non--invertible in unified approach.

The devices used with virtual environments for data entry aim to provide the user with a means to interact with the virtual environment in a natural, multi-modal manner. One particular issue faced by these devices is allowing to user to navigate through the virtual space in a manner similar to their real-world experience. Within the last few years a number of attempts to meet the challenge of p...

while it is a well-known fact that geopolitics is a subject of boardroom discussions that has been derived from the debth of political science, there are those who consider it to be an academic discipline, independent of both political geography and political science. yet, an etymological review of the case proves that political geography must have gained prominance as a specialist field of aca...

Actual applications of the energy absorbers showed that actual loads are not applied in the form of pure axial compression, pure bending or pure torsion. In reality, an energy absorber component may be subjected to combined loading of compression, bending and torsion. A number of previous articles have investigated the behavior of energy absorbers under oblique loading. In such cases, the obliq...

Factual, fictional and factional representations of policing are, for a large proportion of the British public, the most significant source of information concerning law and order. In recent years there has been a blurring of the boundaries between these three media depictions of policing. The growth of faction or infotainment, through the hybridisation of factual programming, in particular, ha...

The restructuring of the electricity industry has spawned the introduction of new independent grid operators (IGOs), typically called transmission system operators (TSOs); independent system operator (ISOs); or regional transmission organizations (RTOs), in various parts of the world. An important task of an IGO is congestion management (CM) and pricing. This activity has significant economic i...

The realization of virtual reality technology is useful in distributed practical teaching because its advantages such as illustrated, no limit by space and time, high intelligence, good ability of interactivity and etc. The practical teaching virtual reality technology is based on static images and IP network of computers. Recording the course of video, frequency, operation process of practical...