R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.

<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>

Praise be to God, who has seen uniting the wonders of manufactures, and pronounced Pthamidh oddity Alambdoat, and swam his creation in different languages, Glory is not equal to one in the earth and the heavens, praise Him, and I bear witness that there is no god but Allah alone with no partner certificate towering branches, and I bear witness that Muhammad is His slave and Messenger sent swage Arab government balance, and clearest statement, and the highest residence and Ohllagha words, and Oovaha Zmama, he pointed the way and advised the creation, and the month of Islam, breaking idols, and showed provisions, uncle Balanaam, God separated blessings and peace upon our Prophet Muhammad and the God of the good and virtuous and his compani

Given the importance of the phenomenon of bullying and its spread in the productions of animated films and the resulting impact on them, and the dominance of a large number of satellite channels that simulate different age stages and for both sexes. It is bullying others and their imitation of characters inspired by animated films with aggressive behavior that appears in them by imposing his authority by force on those who are weaker than him and in various methods that fall within the concept of bullying, and the interest of most satellite channels in this type of production that simulates different age groups, this research comes as an attempt A scientific method through which the researcher seeks to know the issue of the dramatic cons

The rapid rise in the use of artificially generated faces has significantly increased the risk of identity theft in biometric authentication systems. Modern facial recognition technologies are now vulnerable to sophisticated attacks using printed images, replayed videos, and highly realistic 3D masks. This creates an urgent need for advanced, reliable, and mobile-compatible fake face detection systems. Research indicates that while deep learning models have demonstrated strong performance in detecting artificially generated faces, deploying these models on consumer mobile devices remains challenging due to limitations in computing power, memory, privacy, and processing speed. This paper highlights several key challenges: (1) optimiz

Since I live in a society in which violence has become widespread, and killing among its own people flared up till they began to kill under the excuse of taking shelter, in these pages I would like to explain the status of taking shelter in the light of Islamic Law (Sharia), exploring scholars’ opinions in the legitimacy or illegitimacy of this issue according to the legal standards.
And, to acquaint people, and myself in the first place, with the true nature and the gravity of this issue; to expose it to those who are unaware of it; to remind those who are already aware of it. I would refute the fabrications, remove the suspicions which surround it untill it made the forbidden permissible; the wrong right. I would explain to those

Praise be to God, and may blessings and peace be upon the Messenger of God, his family and companions, and from his family and after ...
It is the right of every nation to be proud of its heritage, science and civilization among the nations, taking pride in the efforts of its construction and the keenness of its scholars and dedication to serve their nation and their history, and from the great sciences that boast and honor our great nation and distinguish it over others the science of attribution and the preservation of the novel over generations and ages. The novel is preserved from the plagiarism of the nullified, the excess of the deceitful and the liars, and the science of isnad from religion as the scholars said, and without the

The Supreme Judicial Council decided on July 3, 2003, to set up a court to deal with the issues of publication and media. This court tries to solve the problems of media and publishing in both its civil and penal aspects. The decision of establishing the court represents a new and important step to be taken by the Iraqi Judicial Council for the tremendous development witnessed by media sector in general and press in particular especially after 2003.
This study includes two main axes: the first one deals with the most important crimes of publication in the Iraqi legislations such as the crimes of defamation, libel, insult, indecency, and incitement; the second deals with an analytical survey of the completed cases i.e. the issues tha

The novel was generally distinguished from other literary arts in its connection with the living reality as an imaginative practice that relies on political, economic, social, intellectual and cultural references and as a crucial tool in reading cultural references and dive deep into reality. As every novelist has a vision to embody this reality. As every novelist has a vision to embody this reality. The novel of ("Exceeded border by Hammed Al-Kafa’i) is a considered a fertile field for presenting social issues in their apparent structure and revealing the cultural patterns behind them which lies in its deep structure. The novel here moves its characters in its imaginary world in a way that it becomes more capable of adaptation and crysta