37. Al-Saffat/The Rows
I/We begin by the Blessed Name of Allah
The Immensely Merciful to all, The Infinitely Compassionate to everyone.
37:01
a. By those lining up in rows,
37:02
a. and those drivers, driving away,
37:03
a. and those reciting the Reminder – The Divine Qur’an.
37:04
a. Indeed, your Allah is the One and Only Allah of everyone.
b. HE has no parents, no partners, no siblings, no sons, and no daughters.
37:05
a. Allah is Rabb - The Lord of the celestial realm and the terrestrial world and whatever is
within and between them, and,
b. Allah is also Rabb - The Lord of the vast expanse of the East and the West.
37:06
a. Indeed, WE adorned the sky of the terrestrial world with splendor of the glittering stars.
37:07
a. And secured them with meteors against every defiant Satan.
37:08
a. So that they, who seek to know the unknowable, may not be able to eavesdrop on the Exalted Assembly of angels,
b. for they will be pelted with meteors from every side -
37:09
a. – and driven off,
b. for them will be a constant and perpetual punishment.
37:10
a. Except for the one, who is able to eavesdrop and snatch a word of such knowledge,
b. he is instantaneously pursued by flaming fireballs.
37:11
a. So ask them:
b. ‘Are they more difficult to be created, or those WE created others than them?
c. In fact, WE created them – the human species - out of mere sticky clay!
The study explore the relationship between social media communication and social anxiety among undergraduate students. The respondents were selected using a simple random technique. The data was collected by self-administered interview among 100 undergraduate students in Universiti Putra Malaysia. The Instruments used for data collection includes; Social Anxiety Questionnaire for Adults (SAQ-A30) and The Internet Addiction Test (IAT). Study revealed that Facebook was the most common social media patronized with 36 (36.70%) patronage, followed by Instagram with 33 (33.70%), WhatsApp 19 (19.40%) and finally Twitter with 10 (10.20%). Based on the respondents, most students use the social media for social communications and seeking information. The level of social anxiety among most undergraduate students of Human Ecology faculty in Universiti Putra Malaysia is high because approximately two third of the respondents possessed the higher score in social anxiety level. This implies that most undergraduate students of Universiti Putra Malaysia are up to date in information gathering and the use of social network has helped to facilitate social interaction among fellow students and friends thereby reducing the likelihood of students suffering social anxiety disorder.
The aim of this research is to investigate some contractions and establish the existence results of single and multivalued mappings in frame work of some abstract space. Banach (1922) presented a fixed point theorem, namely Banach contraction theorem, which states that, a contraction mapping has a unique fixed point in a complete metric space. This theorem is widely applicable in proving the existence of solutions of functional equations under certain conditions. This theorem is based upon the iterative process, so it can be easily implemented on computer. This theorem was a revolution in fixed point theory. Later on , several generalizations of this theorem have been obtained. Fixed point results are widely studied in the framework of topological, metric and ordered oriented spaces. It is interesting to study that a nonlinear functional equation T(x) = x (where T is some linear or nonlinear operator defined on metric or fuzzy metric space) has either a solution or possess no solution. If the nonlinear functional equation has any solution, then it is interesting to find some algorithms which lead to an appropriate solution, but if nonlinear functional equation has no solution, then to try and find some approximate solution. The approximation, optimization and fixed point theory incorporate the main theme of nonlinear analysis. The best approximation theory is applicable in variety of problems arising in nonlinear functional analysis. Banach (1922) fixed point theorem is vastly applicable in proving the existence of solutions of functional equations under certain conditions. Many authors generalized Banach contraction principle in various directions. To address the question, if a nonlinear functional equation has no solution, it is recommended to approximate the solution which solves the optimization problem such that d(x, T x) is minimum. Ky Fan’s (Fan (1969)) best approximation result has been used when some nonlinear functional equations have no solution. In this thesis, best proximity point results in non-Archimedean fuzzy metric space are proved and some optimal best proximity point results are also obtained. These results provides the existence of optimal approximate solutions to some equations which have no solution. Further, fuzzy optimal coincidence point results for different proximal contractions in the framework of complete non-Archimedean fuzzy metric space are obtained. These results also holds in fuzzy metric spaces when some mild assumptions are added in the domain of involved mappings. In the next part of thesis, best proximity point results in a complete non-Archimedean fuzzy metric space with ordered structure have been discussed. Further, a class of multivalued mappings is introduced which satisfies Suzuki type generalized contractive condition in the framework of fuzzy metric spaces and some fixed point results are obtained for such kind of mappings. In next part of this thesis, Suzuki type contraction conditions are further generalized as Suzuki type F−contraction fuzzy mapping in ordered metric spaces. As an application, a common fixed point result for hybrid pair of single and multivalued mappings, the existence and uniqueness of common bounded solution of functional equations arising in dynamic programming are obtained. The obtained results generalize and extend various results in the existing literature. In each chapter, some examples are provided, which shows the validity of the results along with couple of remarks about the comparison of obtained results with the existing ones in the literature.