We define and study the concept of Contraction Functions to solve the point formation problem in robotics. Interestingly, the discussion leads to the Weber point that plays an important role in facility location. We introduce the notion of Convex Core and show that this helps to locate the Weber point.

The question we consider in this paper is: “When can a combination of fine-grain execution steps be contracted into an atomic action execution”? Our answer is basically: “When no observer can see the difference.” This is worked out in detail by defining a notion of coupled split/atomic simulation refinement between systems which differ in the atomicity of their actions, and proving that this co...

Background: The transverse abdominis (TrA) muscle is one of the most important muscles that contribute to the stability of the lumbar spine. Strengthening of trunk muscles that have a significant role in trunk stability is very important in the field of professional sport, sport medicine and rehabilitation of patient with low back pain (LBP). Identifying the exercises that can improve the stren...

Abstract In this paper, we introduce two new concepts of F -contraction, called dual $F^{*}$ F ∗ -weak contraction and triple contraction, which generalize the existing contractions in sense Wardowski, Jleli Samet as well Skof. These generalizations embed their roots ai...

As other authors have been very interested in the topic of fixed points, we obtained some results this study that emphasize importance point theory. Kannan described a more general contraction than Banach took its name and later Reich generalized further metric spaces. In paper, introduced new contractions called type γ-contraction which are generalization for non-Archimedean fuzzy We presented...