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میں نے بس تجھ کو چاہا ہے

میں نے بس تجھ کو چاہا ہے
کون سا ایسا جرم کیا ہے

لوگ مجھے کیوں دیکھ رہے ہیں
مجھ سے کیا کچھ غلط ہوا ہے

تجھ کو جس کی خبر نہیں ہے
تیری یاد میں سوکھ چکا ہے

اُس سے اتنی نفرت کیوں ہے
وہ تو تیرا دوست رہا ہے

تیری جدائی سہوں مَیں کیسے؟
تُو کیوں مجھ سے دور گیا ہے

آج کی رات نہ سو پائوں گا
گلی میں تجھ کو دیکھ لیا ہے

تیری گلی میں جاتا کیوں ہوں
ہوش کہاں مجھ کو رہتا ہے

کوئی تو بات ہے دل میں تیرے
میں نے یہ محسوس کیا ہے

رات بنی ہے سونے کو جی
جانے تُو کیوں جاگ رہا ہے

A Study of Stress Factors and Their Impact on Students’ Academic Performance at University Level

The main emphasis of the study is on the academic performance and the stress management in applied science among the students of Mohtarma Benazir Bhutto Shaheed Sindh University Campus Dadu. What is the level of stress on the academic success of the students? How does it affect their lifestyle and health? This is what the research study covers to counteract the general stress among the students. The purpose of the study is to inquire and bring light to measure and check the present stress among students of the university. While doing the research a quantitative method was applied for collecting and analyzing the data. The Questionnaires were distributed among different students for this purpose. Innumerable factors of stress were found in the results and the factors were grouped in four categories which are; -Environmental Factors, Academic Factors, and Personal Factors. In environmental factors, the stress was about the happening the fate in the future. The students were found worried about future that what would happen about their fate? How it will happen? What is about to happen? When they came into contact with the new people it raised their stress. Also the class workload was the main reason for the stress among the students regarding academic factors. When the students were experiencing the workload of the class the group of the students came under stress. The last factor was a personal factor which was mainly due to the financial problem among the students. The stress of all categories can be managed through stress management courses and doing different extracurricular activities which will help to divert the attention of the students on different occasions. This study has drawn significant conclusions and Suggests further measures for practitioners which could help other to manage stress. The limitations are also mentioned so that those who are conducting research for the similar cases can extract better results and ways of curbing stress. A survey questionnaire was designed to collect the response from students, the five-point Likert scale was used from strongly agree to strongly disagree. SPSS-21 version was used to interpret the results through different quantitative techniques like descriptive, regression, and correlation. ____________

Fixed Points Results for Various Contractions in Different Distance Spaces

In this thesis, we present our contribution to develop Fixed Point Theory. The main purpose is to introduce different notions of contractive inequalities in the frame work of different distance spaces and to obtain fixed point, common fixed point, best proximity point, common best proximity point results for such inequalities by adding and relaxing some conditions and generalizing the existing results. This thesis is comprised on six chapters. Chapter 1 recapitulates some basic definitions and existing results related to fixed point, common fixed point and best proximity points. Chapter 2 consists of eight sections. Section 2.1 covers the introduction of the chapter and in Section 2.2 we obtain fixed point results for α-η-GF-contractions in the setting of modular metric spaces. In Section 2.3, we derive new results in partially ordered metric spaces from previous section. In Section 2.4, 2.5 and 2.6, as an application of our results proved in last sections, we deduce, respectively, SuzukiWardowski type fixed point theorems, fixed point results for orbitally continuous mappings and more general fixed point theorems for integral type GF-contractions. In Section 2.7, we introduce the concept of ω-weak compatibility and prove the existence and uniqueness of common fixed point results for ω-weak contractive inequalities of integral type in modular metric spaces. The presented results in this section elongate and generalize the Theorems 2.2-4.3 of [29], Theorem 2.1 of [44], Theorems 2.1 and 2.4 of [40], Theorems 2.1-2.4 of [124], Theorem 2.1 and 3.1 of [129], Theorem 2 of [150] and Theorems 3.1 and 3.4 of [122] in the set-up of modular metric space. In Section 2.8, we deduce fixed point results and common fixed point results in a triangular fuzzy metric spaces. The results of Sections 2.2, 2.3, 2.4, 2.5, 2.6 and Sections 2.7, 2.8 have appeared, respectively in [85] and [84]. Chapter 3 consists of six sections. Section 3.1 covers the introduction of the chapter, in Section 3.2 we introduce the concept of α-η lower semi-continuous multivalued mappings, α-η upper semi-continuous multivalued mappings and prove some fundamental lemmas related to these concepts. In Section 3.3, we develop fixed point results for modified α-η-GF-contractions with the help of the newly introduced concept in previous section. The obtained results generalize the Theorem 2.5 and Theorem 2.6 of [126]. In Section 3.4 we prove fixed point results for F-contraction of Hardy-Rogers type. These results extend and generalize Theorem 10 and Theorem 11 of [17]. In Section 3.5, we find common fixed point and fixed point results for multivalued α∗η∗ manageable contractions. The obtained results generalize Theorems 3.2 and 3.3 of [12], Theorem 9 of [14], Theorem 4.1 of [91] and Theorem 5 of [127] and [133]. Lastly, in Section 3.6, as an application of our results, we derive fixed Point Results in Partially Ordered Metric Space and establish the existence of solution of Volterra integral equation of the second kind. The results of Sections 3.2, 3.3, 3.4 and Sections 3.5, 3.6 have appeared, respectively, in [95] and [80]. Chapter 4 consists of five sections. Section 4.1 covers the introduction of the chapter and in Section 4.2, we define multivalued α-orbital admissible mappings and prove some supplementary results, which will be used in further sections. In Section 4.3, we proved the existence of fixed points for multivalued α-type F-contractions in complete metric spaces. It is also worth mentioning that, to prove these results we only use two conditions from already defined F-contraction by Wardowski. In Section 4.4, we derive the best proximity results for multivalued cyclic α-F contraction with proximally complete property. The obtained results generalize Theorem 2.2 and Theorem 2.5 of [16]. In Section 4.5, as an application of previous section, we obtain best proximity point results and fixed point results for single-valued mappings. As a special case of our results, we obtain Theorem 3.4 of [66], Theorems 2.1 and 2.2 of [135] and Theorem 2.1 of [167], we also present an example which illustrates thesolvability of our results but Theorems 2.1 and 2.2 of [135], Theorems 2 and 5 of [88] are not applicable for this example. The results of Sections 4.2, 4.4 and 4.5 have appeared in [79]. Chapter 5 consists of six sections. Section 5.1 covers the introduction of the chapter and in Section 5.2, we define T-orbitally continuous, T-orbitally lower semicontinuous, T-orbitally upper semi-continuous mappings and prove some related lemmas. In Section 5.3, we prove Variational Principle and as a consequence we obtain Ekeland’s-Variational Principle in the setting of T-orbitally complete metric spaces. The obtained results generalize Theorem 1.1 of [64] and Theorem 1 of [170]. In Section 5.4, we derive some fixed point results from the results proved in previous section. These fixed point results extend and generalize Theorem 2 of [161], Theorem 1 of [38] and [55] and main results of [104], [49] and [149]. In Section 5.5, as a consequence, we obtain minimax theorems in incomplete metric spaces without assumption of convexity and also obtain the existence of a solution of equilibrium problem in incomplete metric spaces. We also present an example here, which satisfies our obtained equilibrium formulation but the equilibrium formulations of Ekeland’s variational principles given in [11, 41, 46, 116, 136, 140] can not be applied for this example. In Section 5.6, we define α-orbital admissible mapping with respect to η and utilize this concept to obtain the extension of Theorem 6 of [54], Theorem 10 and 11 of [17] in the frame work of T-orbitally complete metric spaces. The obtained results also generalize Theorem 5.1 and Theorem 5.3 of [95]. Chapter 6 consists of seven sections. Section 6.1 covers the introduction of the chapter and in Section 6.2, we introduce the concept of cyclic orbital simulative contractions and explore the existence of best proximity points for these type of mappings via enriched class of simulation functions. For this purpose, we adopt only one condition from the concept of simulation functions and show that other conditions are superfluous. In Section 6.3, we deduce some fixed point results from previous section. The presented results generalize Theorem 2.8 of [111]. In Section 6.4, we deduce some new and existing best proximity points results and fixed point results in the Literature from previous sections. As a consequence, we obtain Theorem 4 of [15], Theorem 2.4 of [63], Theorem 3.4 of [66], Theorem 2.2 of [106], Theorem 2.1 of [139], and Theorem 1.8 of [142]. In Section 6.5, we refine Theorem 1 and Theorem 2 of [4], Theorem 2.1 and Theorem 2.2 of [154], Theorem 3.1 and Theorem 3.2 of [163]. In Section 6.6, We give an application to the variational inequalities and provide the solvability theorems of an optimization problem. We also explore the solution for an elliptic boundary value problem in Hilbert spaces. Finally, in Section 6.7, we introduce the notion of α∗-proximal contractions for multivalued mappings and obtain the existence of common best proximity points for both multivalued mappings and single valued mappings. Here we get the generalizations of Theorem 13 in [13], Theorem 3.3 in [12] and Theorem 2.1 in [155]. We also give a generalization to the concepts of compatibility and weak compatibility due to Jungck ([101] and [100]).
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