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5 articles for “proximity point”
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A Study of Fixed-Point and Best Proximity Point
Abstract: Fixed-point theory plays a fundamental role in nonlinear analysis and has significant applications in optimization, differential equations, and applied mathematics. This study investigates the existence and properties of fixed points and best proximity points for various classes of mappings defined on metric and normed spaces. While fixed-point results guarantee the existence of a point that remains invariant under a given mapping, such points may not exist when the mapping is …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 28–39 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
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Comparative Evaluation of Fiber-Reinforced Composite and Elastic Fiber Posts in Reinforcing Peri-Cervical Dentin: an In-Vitro Study
Abstract: This study evaluates the fracture resistance of short-fiber reinforced composite and elastic fiber posts compared to conventional hybrid composites in reinforcing peri-cervical dentin of endodontically treated teeth. Methods: The crowns of thirty single-canal mandibular premolars were resected to achieve a dimension of 4mm from 1mm below the highest point of the proximal cervical line. In Group 1, teeth underwent endodontic treatment with gutta-percha filled up to the cement-enamel junction (CEJ) …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 143–149 Read article
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Facial Recognition System Utilizing Real-time Deep Learning Techniques
Abstract: This research introduces an openly accessible deep learning-based framework designed for facial recognition. The system encompasses five key stages: face segmentation, detection of facial features, face alignment, embedding, and classification. Deep learning methods are employed for the extraction of fiducial points and embedding within the system. For the classification task, a Support Vector Machine (SVM) is utilized due to its efficiency in both training and inference phases. Notably, the system …
Published in Journal of Image Processing & Pattern Recognition Progress · Vol. 11, Issue 1, 2024 · pp. 14–20 Read article
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LIDAR - Equipped Proximity Sensing UAV's Compact Drone
Abstract: The LIDAR-Equipped UAV's Compact Drone is an innovative unmanned aerial vehicle (UAV) that combines the power of LIDAR technology with a lightweight and agile design. This abstract highlights the capabilities and potential applications of the compact drone, equipped with a LIDAR sensor, for precision data acquisition and advanced aerial mapping. The core feature of the LIDAR-Equipped UAV's Compact Drone is its integration of a miniaturized LIDAR sensor, enabling high-precision distance …
Published in International Journal of Robotics and Automation in Mechanics · Vol. 1, Issue 1, 2023 · pp. 1–10 Read article