<p>In this paper, we prove there exists a coupled fixed point for a set- valued contraction mapping defined on X× X , where X is incomplete ordered G-metric. Also, we prove the existence of a unique fixed point for single valued mapping with respect to implicit condition defined on a complete G- metric.</p>

Drag reduction (DR) techniques are used to improve the flow by spare the flow energy. The applications of DR are conduits in oil pipelines, oil well operations and flood water disposal, many techniques for drag reduction are used. One of these techniques is microbubbles.  In this work, reduce of drag percent occurs by using a small bubbles of air pumped in the fluid transported. Gasoil is used as liquid transporting in the pipelines and air pumped as microbubbles. This study shows that the maximum value of drag reduction is 25.11%.

   Fracture pressure gradient prediction is complementary in well design and it is must be considered in selecting the safe mud weight, cement design, and determine the optimal casing seat to minimize the common drilling problems. The exact fracture pressure gradient value obtained from tests on the well while drilling such as leak-off test, formation integrity test, cement squeeze ... etc.; however, to minimize the total cost of drilling, there are several methods could be used to calculate fracture pressure gradient classified into two groups: the first one depend on Poisson’s ratio of the rocks and the second is fully empirical methods. In this research, the methods selected are Huubert and willis, Cesaroni I, Cesaroni II,

The notion of presupposition has been tackled by many linguists. They have found that the term ―presupposition” is being used in two different senses in the literature: semantic and pragmatic. As for semantic sense, Geurts (1999) has isolated some constrictions as sources of presupposition by making lists of presupposition triggers. Concerning the pragmatic sense Kennan (1971:89) uses the term pragmatic presupposition to refer to a class of pragmatic inferences which are, in fact, the relation between a speaker and the appropriateness of a sentence in the context. In spite of the fact that there are many researches that have been done in the field of presupposition but few of them in the field of short stories up to the researcher's kno