We provide a new concept of weakly contractive maps on JC , and it was studied two lemma verify those theorems. Also, tend to focus on proving some fixed point outcomes for functions satisfying certain contractive in JC- metric space in a manner distinct from the known results in the literature.

Differential equations play a role in Applied Physics; it’s not always feasible to find analytical solutions for nonlinear partial differential equations when dealing with certain phenomena. In this instance, we provide series solutions using a semi-analytical approach. These approaches’ solutions are looked for as series. The basic principle of semi-analytical approaches is to determine the series’ other terms from specified initial conditions. Some semi-analytic techniques can achieve extremely good convergence with only a few series terms, but other issues may require more terms to improve convergence to the analytical solution. This study uses the Variational Iteration Adomian Decomposition Method (VIADM) to investigate th

Objectives: To assess the feasibility and accuracy of a new prototype robotic implant system for the placement of zygomatic implants in edentulous maxillary models. Methods: The study was carried out on eight plastic models. Cone beam computed tomographs were captured for each model to plan the positions of zygomatic implants. The hand-eye calibration technique was used to register the dynamic navigation system to the robotic spaces. A total of 16 zygomatic implants were placed, equally distributed between the anterior and the posterior parts of the zygoma. The placement of the implants (ZYGAN®, Southern Implants) was carried out using an active six-jointed robotic arm (UR3e, Universal Robots) guided by the dynamic navigation coordinate tr

The arts global digital marketing activity is one of the most prominent manifestations of the contemporary transformation in the circulation of cultural products, and that this event has become a new knowledge event that deserves to be a framework for the problem of our current research, while this phenomenon is growing and developing to compete with the traditional marketing of art through galleries, exhibitions, auctions and museums. It is still the preserve of certain civilized and knowledge environments, and from here this research comes with the aim of shedding light on the mechanisms of digitizing the contemporary art market that have been linked to the two variables of the growing idea of indirect marketing through the intermediar

The metric dimension and dominating set are the concept of graph theory that can be developed in terms of the concept and its application in graph operations. One of some concepts in graph theory that combine these two concepts is resolving dominating number. In this paper, the definition of resolving dominating number is presented again as the term dominant metric dimension. The aims of this paper are to find the dominant metric dimension of some special graphs and corona product graphs of the connected graphs  and , for some special graphs  . The dominant metric dimension of  is denoted by  and the dominant metric dimension of corona product graph G and H is denoted by .