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1055 articles for “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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Development of a Polymeric Detection System for Salivary Annexin-1: A Potential Tool for Point-of-Care Diagnostics in Periodontal Disease
Abstract: Salivary annexin-1, a protein with anti-inflammatory properties, has emerged as a potential biomarker for periodontal disease. However, current detection methods, like ELISA, are often complex and require laboratory settings. This study explores the development of a novel polymeric detection system for the rapid and sensitive identification of salivary annexin-1. This system could leverage the unique properties of polymers to create a point-of-care diagnostic tool for: (1) early detection and monitoring …
Published in Journal of Polymer & Composites · Vol. 12, Issue 5, 2024 · pp. 101–110 Read article
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Polymeric Microfluidic Chips for Rapid Point-of-Care Diagnostic Testing
Abstract: Polymeric microfluidic chips have emerged as promising platforms for rapid point-of-care (POC) diagnostic testing by integrating sample preparation, fluid manipulation, biochemical reactions, and signal detection within compact and potentially low-cost devices. Their compatibility with materials such as polydimethylsiloxane (PDMS), polymethyl methacrylate (PMMA), cyclic olefin copolymer (COC), polystyrene (PS), polycarbonate (PC), and polymer–paper composites provide considerable flexibility in device design and manufacturing. Advances in soft lithography, injection moulding, hot embossing, laser …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 Read article
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Intimate Mappings in Interval-Valued Fuzzy Metric Space: A Few Fixed-Point Findings
Abstract: The purpose of this study is to extend some previously established fixed point results for interval valued fuzzy metric space. For this objective, various contractive criteria with respect to an intimate mapping are applied. We employ intimate mapping in interval valued fuzzy metric space (IVFMS) to validate some well-known fixed point results. Our findings complement and generalize the recent findings of the common fixed point theorem for intimate mapping. The …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 16–23 Read article
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Artificial Intelligence based Point of Care Device in Advanced Medical Diagnostic Techniques
Abstract: Application of Point-of-Care Testing (POCT) at medical sites provides instant diagnostic results that help doctors make quick decisions for patient care. The traditional point-of-care testing equipment faces restrictions because they test single parameters and experience calibration problems in addition to inefficient data management systems. POCT technology benefits from the integration of Artificial Intelligence (AI) which creates a novel system to solve current operational limitations. The presented study introduces an intelligent …
Published in International Journal of Biomedical Innovations and Engineering · Vol. 3, Issue 2, 2025 Read article
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A Journey through Fixed Points and Non-expansive Mappings
Abstract: Fixed points in non-expansive mappings are elements that remain unchanged under the action of the mapping. Non-expansive mappings preserve or contract distances in a metric space. The rigorous proof of the Banach fixed-point theorem is presented at the outset of the paper, highlighting its fundamental significance. According to this theorem, every contraction mapping (a particular kind of non-expansive mapping that strictly reduces distances) has a single fixed point in a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Application of Fixed-point Theorem in Various Field Review
Abstract: This paper is review of application of fixed-point theorem from 15 research paper. It is observed that Fixed point theorem has application in various field like game theory, computer science, integral and differential equations, heattransfer, functional analysis, topology etc.so for research paper we can utilize fixed point theorem for extension in application.
Published in Journal of Mechatronics and Automation · Vol. 7, Issue 2, 2020 · pp. 6–9 Read article
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Analysis of Resource Utilization for a Floating-Point Complex Multiplication in FPGA
Abstract: Complex multiplication is an important operation frequently used in the digital signal processing. This paper shows the resource utilization for a complex multiplication on Spartan3E by using a 9 bit floating point numbers. The proposed method clearly shows that resource utilization for complex multiplication is less than the IP cores proposed by the Xilinx Company. More over this paper shows how the significant and the exponent of the floating point …
Published in Journal of VLSI Design Tools and Technology · Vol. 1, Issue 1-2-3, 2011 · pp. 9–14 Read article
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Advance Fixed Point Theorems and Its Application to Ordinary and Fractional Differential Equations
Abstract: In the present research, advanced results on the fixed point theorem are applied to typical boundary value problems. Finding a differential equation's solution under certain boundary conditions is the goal of typical boundary value topics. The article appears to extend new fixed point results to a new context, likely involving fractional operators with unique kernels, notably the Caputo-type fractional operator. This extension involves applying the fixed point theorem to a …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 1–15 Read article
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(𝛅,Ü ) Convex Structure on Partial B-Metric Space Concerning Quasi Contraction and Fixed-Point Results
Abstract: This work introduces the concept of (δ,Ü )– Convex Partial b-Metric Spaces using convex structure. Motivated by this approach, we demonstrated fixed point results and their uniqueness, as well as quasi contraction, and provided some supporting instances for the established results. Our findings expand prior fixed-point results to a novel concept (δ,Ü )– Convex Partial b-Metric Spaces. To support our theoretical findings, we provide several instances that exemplify the established …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 Read article
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Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
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Mathematical Modeling and Design of Improved Maximum Power Point Tracking System for Solar Photovoltaic System for Renewable Energy Applications
Abstract: This paper investigates the implementation of maximu m point tracking system for grid connected solar photovoltaic system using converters topology including maximu m power point tracking system. The implementation of maximu m point tracking system is realized with the help of incremental conductance method. The implementation is done for cuk converters and sepic converters to investigate the effect of maximu m power point tracking and effect of converter topology with …
Published in Journal of Electronic Design Technology · Vol. 12, Issue 3, 2021 · pp. 25–36 Read article
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Articulation Point Technique in MANET
Abstract: The mobile ad hoc network, which is a wireless network of special type and has a collection of wireless hosts with wireless network interfaces, encompasses a temporary network, without any established infrastructure or centralized administration. All wireless nodes will start broadcasting again all the received broadcast messages. It is a common problem called as blind broadcast. Every node may receive the same copy of the messages from all the neighboring …
Published in Journal of Telecommunication, Switching Systems and Networks · Vol. 3, Issue 3, 2016 · pp. 25–34 Read article
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Design and Analysis of MAC Unit Using Single Precision Floating Point Vedic Multiplier
Abstract: Multiplication and accumulation are the basic operations which are important in several microprocessors and digital signal processing (DSP) applications to execute dedicated algorithms. Developing high speed MAC is essential for real time DSP application. The MAC unit determines the speed of the overall system and it lies in the critical path. As the demand for high speed design is continuously increasing, the studies related to the field of multipliers and …
Published in Journal of VLSI Design Tools and Technology · Vol. 8, Issue 3, 2018 · pp. 28–35 Read article
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Tropospheric Variation of Point Refractivity Gradient and Geo-climatic Factor over a Coastal Location in Tropical Nigeria
Abstract: Accurate assessment of refractivity gradient and Geo-climatic factor is crucial for maintaining reliable radio signal propagation in clear-air environments. These parameters are essential for determining the fade margin necessary to ensure a stable and effective wireless radio link, given the unstable nature of the atmosphere through which the signals travel. It is crucial to have accurate knowledge of these characteristics, particularly at microwave antenna heights of around 70 meters, in …
Published in Journal of Remote Sensing & GIS · Vol. 15, Issue 2, 2024 · pp. 28–42 Read article
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Maximum Power Point Tracking for Solar PV System
Abstract: There is an ever increasing demand for energy in today's world. The photovoltaic (PV) systems are the suitable options for satisfying an ever increasing need for energy and thus are being used widely around the globe. Some special methods are required for extracting the maximum available power out of PV systems because they are nonlinear in nature. The nonlinear characteristic of the IV curve of PV module has a unique …
Published in Journal of Electronic Design Technology · Vol. 7, Issue 1, 2016 · pp. 14–21 Read article
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Performance of Equation-of-State for Hydrocarbon Dew Point Control in Gas Flow-line in a Nigerian Field
Abstract: Associated gas in a flow-line in a Nigerian field was suspected to be accountable for unaccounted-for gas in the flow-station. Gas molecular compositions of Low Pressure suction gas and Injection Discharge gas for operating conditions of pressure and temperature from the field were analysed by the use of Soave-Redlich Kwong and Peng-Robinson Equations of State with PVTp thermodynamic software. The phase envelope predicted the Hydrocarbon dew point(s) observable from the …
Published in Journal of Petroleum Engineering & Technology · Vol. 9, Issue 1, 2019 · pp. 7–13 Read article
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Tracking of Maximum Power Point for SPV Systems
Abstract: AbstractThis paper presents the optimization algorithm based maximum power point tracking techniques. Optimization of output of shaded and un-shaded photovoltaic array under either it is static or dynamic whether condition is the primary goal of each MPPT techniques. There are various aspects of each MPPT techniques such as cost effectiveness, simplicity of hardware and software, its implementation, requirement of sensor, level of popularity, level of accuracy and its convergence speed. …
Published in Journal of Semiconductor Devices and Circuits · Vol. 6, Issue 3, 2019 · pp. 33–45 Read article
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Coarse-grained Logic Interface with Floating-point Arithmetic Unit: A Review
Abstract: One of the key elements of their design, which has a substantial impact, is their choice of programmable connectivity and logic capabilities. The FPGA architecture has a significant impact on the speed performance, space efficiency, and power consumption of the finished device. This examination examines the evolution of programmable logic devices over time, the underlying programming paradigms that underpin programmability, and the most important findings from architectural system research. We …
Published in Research & Reviews: A Journal of Embedded System & Applications · Vol. 11, Issue 2, 2023 · pp. 18–24 Read article