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FIXED POINT THEOREMS OF CONDENSED KANNAN-TYPE CONTRACTION IN G-METRIC SPACES
(2025-06-30) Wahab, Olalekan Taofeek; Musa, Salaudeen Alaro; Usman, Abdulazeez Adebayo; John, Dunama; Mohammed, Ghazali Nasirudeen
In this paper, we introduce the notion of condensed Kannan-type contraction in G-metric spaces. We establish and prove some fixed point theorems of operators satisfying the condensed Kannan-type map. To evaluate the efficacy of this condition, we de fine a new criterion, called the alpha-measure, in G-metric spaces to seamlessly assess the effectiveness and dynamicity of the condensed map. We consider some practical examples to validate and demonstrate the dominance of the condensed map over some existing Kannan-type maps in G-metric spaces. The results obtained ensure suitability for solving unique and non-unique fixed points and suggest a framework for selecting an appropriate real constant alpha in (0; 1) for studying nonlinear operators.
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MUHAMMADU BUHARI THE NIGERIAN LEGACY: 2015-2023: JOURNEY TO THE PRESIDENCY
(MAY PUBLISHING LIMITED, 2023-12-18) Edited by Udu Yakubu
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Analysing x-ray and radiation risk exposure under Shari'ah patients' healthcare
(Kwara State University Department of Business and Private Law, 2025-12-16) Abdulfatah Abdur-Rahman Jimba; Ahmed Abiodun Muhammed-Mikaaeel
X ray imaging holds an indispensable role in modern medical diagnostics, yet its utilization raises significant ethical and safety consideration especially in aspect of radiation exposure. Hence, this paper analyses x-ray and radiation exposure under Shari’ah patient healthcare by drawing on classical Islamic legal maxims such as necessity (darurah) and the imperative to prevent harm (dafʿ al-darar). The study examines the traditional fiqh and how the overarching objectives of Maqasid al-Shari‘ah can ethically accommodate the use of x rays in medicine. The analysis balances the life-saving diagnostic benefits against the potential risks of radiation, thereby illustrating the flexibility and adaptability of Islamic jurisprudence to modern technological challenges. Adopting a multidisciplinary approach, the paper reviews classical Islamic texts alongside current radiological standards and clinical research. It explores the conditions under which x ray examinations are deemed permissible when conducted in adherence to stringent safety protocols aimed at minimizing risk. Through evaluation of contemporary fatwas and case studies, the paper demonstrates how informed ijtihad fosters an interpretative framework that not only mitigates potential harm but also promotes patient welfare within an Islamic ethical context. Ultimately, the study provides clear guidelines for both religious scholars and medical practitioners, advocating for a dynamic dialogue that ensures medical innovations remain aligned with the fundamental values of preserving life and well-being. The paper found that despite the existence of the contemporary challenges, the flexibility of Shariah rules makes room for permissibility of x-ray under necessity doctrine and prevention of harm hinged on life-saving objective. The paper recommends clinical best practices, virile institutional framework, fatwa-based enquiry, amongst other.
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An assessment of strategies and challenges of digital media in enhancing teacher-student communication in some selected schools in Anambra state
(2025-06) Chineno Edite Udi-akpeh and Safi Lawal and Yusuf Mariam Lawal and Ozewe Ruth Banke
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A survey of lower basic school pupils attitude and motivation towards learning of English language in ikere, Ekiti
(2019-05-01) Ogunleye Gladys Aderonke, Lawal Safi and Obateru Oluwatoyin Tolu