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Existence of fixed point results in ultra metric spaces

Thesis Info

Author

Latif Ur Rahman

Supervisor

Muhammad Arshad Zia

Department

Department of Mathematics and Statistics

Program

MS

Institute

International Islamic University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Page

93

Subject

Media and Communication Studies

Language

English

Other

MS 514.32 LAE

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676722523675

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ابو ریحان

ابو ریحان
قارئین معارف نے ۱۲ـ؍ نومبر کو ہونے والے بھیانک ہوائی جہاز حادثے کی خبر اخباروں میں پڑھی ہوگی، اس حادثہ میں راقم کے خویش ابو ریحان بھی جاں بحق ہوگئے جو ایک صالح اور صوم و صلوٰۃ کے پابند نوجوان اور مولانا امین احسن اصلاحی مدظلہ صاحب تدبر قرآن کے پوتے تھے۔ ہزار ضبط کے باوجود میرا پیمانہ صبر لبریز ہوگیا اور اپنے ذاتی حادثہ کی اطلاع دینے کے لئے مجبور ہونا پڑا، مرحوم کی جسمانی یادگار تین بچیاں ہیں جو ابھی دس برس کی بھی نہیں ہیں۔ اﷲ تعالیٰ غریق رحمت کرے، معصوم بچیوں پر رحم فرمائے اور ان کے اور حادثہ میں ہلاک ہونے والے سب ہی لوگوں کے غم زدہ اعزہ کو صبر جمیل عطافرمائے، آمین! (ضیاء الدین اصلاحی، نومبر ۱۹۹۶ء)

سماجی و قبائلی عصبیتوں کا خاتمہ

Islam gives complete guidance in every walk of life and provides solutions to all needs. After the migration, Prophet Muhammad (SWA) established a moderate society in Madina. In the state of Madina, he introduced a Positive, Prosperous, progressive and human-caring code of conduct and banned all earlier prejudices wich led to social disorder. One of these menaces was tribal and social prejudices among the Arabs. The Prophet (SWA) strongly discouraged these prejudices. This paper will elaborate teachings of the Holy Prophet (SWA) for eradication of such social evils.

Synthesis, Characterization and Biological Activities of Isocoumarins, Triazoles, Thiadiazoles and Indolinones

The work presented in this thesis consists of the synthesis, characterization, and biological screening of heterocyclic compounds. For convenience, the work has been divided into two parts, part one is related to the compounds containing oxygen atom in the heterocyclic ring whereas part two refers to the compounds containing nitrogen and/ or sulphur atoms in the heterocyclic ring. Part one of this thesis is related to the synthesis, characterization and biological activity of some heterocyclic compounds containing oxygen in the ring. These compounds include some naturally and unnaturally occurring substituted isocoumarins and 3,4-dihydroisocoumarins. The synthesis of naturally occurring isocoumarin Thunberginol B is reported, in which 3,5-dimethoxyhomophthalic acid is a key intermediate for the synthesis of Thunberginol B. It was synthesized efficiently in five steps from 3,5-dimethoxybenzaldehyde via a series of reactions including synthesis of 3,5-dimethoxycinnamic acid, 3-(3′,5′- dimethoxyphenyl)propionic acid, cyclization of 3-(3′,5′-dimethoxyphenyl)propionic acid to 5,7-dimethoxy-1-indanone and oxidative decomposition of methyl 2- hydroxy-2-(5,7-dimethyoxy-1-oxo-1H-inden-2(3H)-ylidene)acetate dimethoxyhomophthalic acid. 3,4-Dimethoxybenzoylchloride from 3,4-dimethoxybenzoic acid condensation with to 3,5- was prepared on reaction with thionyl chloride which on 3,5-dimethoxyhomophthalic acid afforded 3-(3'',4''- dimethoxyphenyl)-6,8-dimethoxyisocoumarin. Complete demethylation of 3-(3'',4''- dimethoxyphenyl)-6,8-dimethoxyisocoumarin with hydrobromic acid in acetic acid gave 3-(3'',4''-dihydroxyphenyl)-6,8-dihydroxyisocoumarin (Thunberginol B). In addition to above, some unnaturally occurring halogenated isocoumarins and their 3,4-dihydrodrivatives were also synthesized. The difluorophenyl- and dichlorophenylisocoumarins by condensation of homophthalic acid with an appropriate acid chloride. Alkaline hydrolysis of the isocoumarins yielded corresponding keto-acids, which on reduction give the corresponding racemichydroxy-acids. 3,4-Dihydroisocoumarins were obtained from these racemic hydroxy-acids by cyclodehydration using acetic anhydride. All the synthesised compounds were identified using their IR, 1 H NMR and mass spectral data. In many cases 13 C NMR and elemental analysis data were employed to support the characterization. In each case, a plasible mass fragmentation pattern is suggested. The synthesized compounds were screened for their antifungal, antibacterial, herbicidal, insecticidal, fungicidal, anti- metastatic, brine shrimp lethality, antioxidant, anti -inflammatory, antiviral, anti- HIV, anti-HBV and anticancer activities and in some cases, very fascinating results were obtained which were then published in different international journals. These synthetic schemes have tremendous potential for further synthesis of novel biological active compounds. Part two of the thesis describes the synthesis and biological screening of some, hitherto unreported, isatin derivatives (Indolinones), 1,4-disubstituted thiosemicarbazides and their related 2,5-disubstituted-1,3,4-thiadiazoles and 4,5- disubstituted-3H-1,2,4-triazole-3-thiones. Indolinones were formed by the direct condensation of hydrazides with halogenated isatins. Triazoles were formed by intramolecular dehydrative cyclization of thiosemicarbazides in basic media while thiadiazoles were formed in acidic media, which is an intermediate during the synthesis of various heterocyclic compounds. Thiosemicarbazides were formed by aldol type condensation reaction of acid hydrazides and isothiocyanates. Isothiocyanates were formed by the reaction of anilines with carbon disulphide in ammonium hydroxide solution to yield ammonium dithiocarbamate, an intermediate which on oxidation with lead nitrate yield isothiocyanate. Acid hydrazides were formed by the reaction of esters of carboxylic acid with hydrazine hydrate and esters were formed by refluxing carboxylic acid in methanol in catalytic amount of carboxylic acids. As a result of these synthetic schemes, thirty new indolinones, ten disubstituted-1,3,4-thiadiazoles and twenty disubstituted 1,2,4-triazole-3-thiones were synthesized. The characterization ofthese synthesized compounds was carried out by IR, 1 H NMR, 13 C NMR, elemental analysis, Mass spectral data and XRD analysis. The synthesized compounds were screened for their antifungal, antibacterial, herbicidal, insecticidal, fungicidal, plant growth regulatory activity and antiviral activities.