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سید مرتضیٰ علی دہلوی

سید مرتضی علی دہلوی
اسی مہینہ دارالمصنفین کے ایک پرانے مخلص سید مرتضی علی صاحب دہلوی نے انتقال کیا، وہ کوئی مشہور آدمی نہ تھے، مگر اپنے اوصاف کے لحاظ سے بڑے انسان تھے، دہلی کے ایک قدیم اور اونچے خاندان سے تعلق رکھتے تھے، نواب علی حسن خاں مرحوم کے داماد تھے، دارالمصنفین کے بڑے ہمدرد ہواخواہ اور اس کی مجلس انتظامیہ کے رکن تھے، وہ جدید تعلیم یافتہ تھے، ابھی تھوڑے دن ہوئے مرکزی حکومت کے ایک بڑے عہدے سے ریٹائر ہوئے تھے لیکن بڑے دیندار اور اخلاق و شرافت کا مجسم پیکر تھے، جامع مسجد کے قریب ہی مکان تھا، اکثر نمازیں جامع مسجد میں ادا کرتے تھے، بڑے مخیر خلیق اور مہمان نواز تھے، ان کا گھر مستقل کارواں سرا تھا، بعض بعض مہمان مہینوں بلکہ برسوں مقیم رہتے تھے اور وہ بڑی خندہ پیشانی سے میزبانی کے فرائض انجام دیتے تھے، قومی و ملی اداروں اور اس کے کارکنوں سے خاص تعلق رکھتے تھے، دارالمصنفین سے ان کو بڑا مخلصانہ تعلق تھا، ہر وقت اس کی خدمت کے لیے کمربستہ رہتے تھے، غرض وہ اپنے اخلاق و سیرت میں قدیم تہذیب شرافت کا نمونہ تھے، اﷲ تعالیٰ ان کی نیکیوں کے طفیل میں ان کی مغفرت فرمائے۔ (شاہ معین الدین ندوی، جولائی ۱۹۵۶ء)

 

Voices Unheard: Analyzing Marginalization and Resistance in Rabbani's 'Invisible People' through a Spivakian Lens

This scholarly research offers a comprehensive analysis of Rabbani's seminal work, 'Invisible People,' through the theoretical lens of Gayatri Chakraborty Spivak's postcolonial feminist perspective. The study investigates the experiences and challenges faced by marginalized populations in contemporary society, aiming to elucidate effective strategies for resistance against marginalization. Key focal points include Spivak's subaltern concept and the imperative of amplifying marginalized voices. The analysis critically examines Rabbani's portrayal of 'invisible people' (2017) as individuals bereft of agency and influence due to their marginalized status, exploring multiple forms of exclusion encompassing economic, social, and political dimensions. Moreover, the research delves into Rabbani's nuanced treatment of identity construction and the intricate intersections of marginalization. Applying Spivak's theory of strategic essentialism, the study scrutinizes how these individuals navigate their identities and mobilize collective resistance. Additionally, the research evaluates notions of agency and empowerment within Rabbani's narrative, investigating methodologies employed by marginalized groups to challenge entrenched power dynamics. Through Spivak's concept of "subaltern counter publics," the study examines the significance of grassroots movements, community organizing, and the establishment of alternative platforms for collective action. Ethical considerations within Spivak and Rabbani's frameworks are also addressed, highlighting the complexities and ethical responsibilities associated with representing marginalized populations. This research underscores the importance of reflexive researcher positionality when engaging with these narratives. Overall, this study provides a nuanced and insightful analysis of Rabbani's 'Invisible People' from a Spivakian perspective, contributing to the ongoing discourse on resistance, marginality, and social justice within this theoretical framework.

Best Proximity Point Results in Fuzzy Metric Spaces

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.
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