In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces, the convergence of a two-step type iterative sequence to a fixed point is proved

     لقد إزدادت التطورات العلمية والتكنولوجية ولاسيما المعلوماتية زيادة في العلوم والحقائق والنظريات والإكتشافات بصورة مذهلة، وكذلك زيادة فروع في العلم والمعرفة ففي كل يوم نشهد قيام فروع أو تخصص معرفي جديد، إضافة إلى تفجر المعرفة التي ساهمت في بناء قنوات الفروع والتخصصات العلمية القديمة والجديدة (عبد الغفور 2001 ص8).

     فالثورة في مجال العلم والمعرفة والمعلومات والإتصا

This paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations. While the classical ADM is effective for linear homogeneous cases, it has difficulties solving more complex problems. The proposed modifications—from MADM1 to MLADM—include Maclaurin and Taylor expansions, Laplace transforms, and single-step iterations.• These modifications enhance convergence, reduce complexity, and improve accuracy.• Each method offers specific advantages, such as accelerating convergence (MADM2, RADM4), simplifying computation (TSADM5), and achieving higher accuracy (MLADM).• Numerical examples confirm th

There are many studies regarding the topic of ‘leadership’ in modern era, especially the studies of the west and the Muslims who followed them in our Arab countries. These studies rely on the modern western theories, they deal with topics like the difference between administration and leadership

Learning the vocabulary of a language has great impact on acquiring that language. Many scholars in the field of language learning emphasize the importance of vocabulary as part of the learner's communicative competence, considering it the heart of language. One of the best methods of learning vocabulary is to focus on those words of high frequency. The present article is a corpus based approach to the study of vocabulary whereby the research data are analyzed quantitatively using the software program "AntWordprofiler". This program analyses new input research data in terms of already stored reliable corpora. The aim of this article is to find out whether the vocabularies used in the English textbook for Intermediate Schools in Iraq are con

The reason for applying the project is for the development of some physiological variables and skill performance using a device for the first time applied in Iraq to a sample of badminton players, and this device has a patent on 7/2/2019. An experimental method is used for a sample of (12) players from (Al-Orthodoxy club). The experimental group is applied the proposal technique, while, the control group is instructed by the coach.The results of the research attribute to the role of the proposal exercises of fit light technology, thus, this technology has increased the attention and focusing of the sample and some physiological variables and smash shot skill. It has been concluded that the exercises using fit light technology is helped to i

The aim of the research is to identify the reality of administrative motivation for the deans of the faculties of physical education and sports sciences at the universities of Baghdad and Al-Mustansiriya from the point of download of the faculty members. The number of the exploratory sample was (7) faculty members, they were taken in a random way, while the rest of the sample number was (150) faculty members who considered the application sample for the scale, and the two researchers also adopted a questionnaire for the scale and it is applied to the Iraqi environment. phrase, which are phrases that are interrelated with the administrative leadership motivation in the faculties of physical education and sports sciences. The researchers did

Purpose: As managers can lead a set of ways to improve internal communication in public organizations, and leadership can cultivate a common understanding of goals within the organization and share the vision in preparation for its way to better performance, the purpose of the research is to assess the type and strength of the relationship between internal communication and different forms of leadership.   Theoretical framework: The study demonstrates how leaders in public organizations improve internal communication, related to employees' perceptions of public organizations' routines and performance.   Design/methodology/approach: The  study  uses the  ordinary  least  squares  (OLS) and  applied multiple  regression A sa

With the spread of global markets for modern technical education and the diversity of programs for the requirements of the local and global market for information and communication technology, the universities began to race among themselves to earn their academic reputation. In addition, they want to enhance their technological development by developing IMT systems with integrated technology as the security and fastest response with the speed of providing the required service and sure information and linking it The network and using social networking programs with wireless networks which in turn is a driver of the emerging economies of technical education. All of these facilities opened the way to expand the number of students and s