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9 articles for “metric space”
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Minimization Theorem and Fixed-Point Theorem in Probabilistic Metric Space
Abstract: This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this paper, the topological structure and properties for PM-space are considered. The conditions of metrization and the form of metric functions for PM-spaces, Menger PM-spaces and probabilistic normed linear spaces (PN-space) are given, and the characterizations of various probabilistically bounded sets are presented. As applications, we utilize these results obtained in …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 36–41 Read article
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Common Fixed Point Theorem in 2-Metric Space Satisfying Rational Inequality
Abstract: Some common fixed point theorems using a new technique by altering distance between the points with the help of certain continues control function. On the other hand, some fixed point theorems by using a non monotonic control function and discussed the importance of control function. In this study, using more general condition satisfying rational inequality along with by proving common fixed point theorem in 2-Metric space.
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 1, 2019 · pp. 1–3 Read article
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A Note on Fixed-Point Theory
Abstract: In this paper, we narrate in brief the origin and step-by-step development of the fixed-point theory which finds its primary applications in functional analysis. It is a sub-branch of the functional analytic theory in which geometric conditions on the mappings and/or underlying spaces play a crucial role. It is also a major branch of nonlinear functional analysis with close ties to Banach space geometry. In this paper, our main focus …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 12–19 Read article
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Topological Analysis of Artificial Neural Network
Abstract: ABSTRACT This paper analyzes the Artificial Neural Network (ANN) over the metric. The dimension, curvature and mappings are the three characteristics of analysis. The impact of ANN in finite and infinite space is also considered. The Euclidean metric is the limit of generalization. The structure of neuron and its mapping are presented over the finite dimension. The discrete and continuous structure of neurons is studied mathematically and its formulation is …
Published in International Journal of Embedded Systems and Emerging Technologies · Vol. 5, Issue 1, 2019 · pp. 17–21 Read article
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A Determination Digital of the Design of the Fronts of Traditional Houses in Algeria
Abstract: This article offers a study on the decomposition and the digital characterization of the traditional devices of entry of the houses of Tijedit. Exploration digital using the metric mechanism morpho is founded particularly on the determination of the rank of morphic pregnancy of the form in question “the device of the entry” in what the ordinary conformation of the totality of the houses touches to which it belongs. This study …
Published in International Journal of Housing and Human Settlement Planning · Vol. 5, Issue 1, 2019 · pp. 1–9 Read article
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4 X 4 Multi-band MIMO Antenna: A Study
Abstract: The insatiable demand for higher data rates and improved connectivity in modern wireless communication systems critically relies on Multiple Input Multiple Output (MIMO) technology. However, the effective realization of MIMO's benefits, particularly in compact devices, is fundamentally constrained by the physical limitations of antenna design, primarily mutual coupling between radiating elements and high spatial correlation. This paper presents the design, analysis, and optimization of a novel 4x4 multi-band MIMO antenna …
Published in International Journal of Microwave Engineering and Technology · Vol. 11, Issue 2, 2025 · pp. 19–29 Read article
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A Study on Machine-Learning-Driven Insight into theThermal Behavior of Polymers and Composite Materials
Abstract: The thermal performance of polymeric and composite systems underpins their suitability for aerospace, electronics, and energy‑storage applications, yet reliable prediction of temperature‑dependent properties remains a formidable challenge. In this work we present a data‑driven framework that harnesses modern machine‑learning (ML) techniques to forecast key thermal metrics – glass‑transition temperature (Tg), melting point (Tm), thermal conductivity (k), and decomposition onset (Td) – from a chemically informed descriptor space. A curated database …
Published in International Journal of Polymer Science and Engineering · Vol. 12, Issue 1, 2026 · pp. 1–11 Read article
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Design of a Plug Flow Reactor for Production of Refrigerants from Natural Gas Chlorination
Abstract: The design of a plug flow reactor and distillation column for the production of refrigerants from natural gas chlorination, was aimed at achieving high purity volume percent of Methyl Chloride (CH3Cl) and Methylene Chloride as desired products. Aspen HYSYS software was used to simulate the reactor. The reaction was carried out at a temperature of 3000C and 1atm Pressure, Methane to Chlorine ratio was set at 1.5:1 to favour the …
Published in International journal of Thermodynamics and Chemical Kinetics · Vol. 7, Issue 2, 2021 · pp. 10–22 Read article
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The New Era of Fusion and Solid-State Joining: A Review of Latest Welding Techniques and Applications
Abstract: Abstract This review examines the quickly changing field of solid-state joining and welding technologies, emphasizing new developments, practical uses, and future research avenues. Strategies that lower heat input, enhance joint integrity, and allow the connecting of sophisticated and dissimilar materials have gained importance within the last ten years. Solid-state techniques are particularly appealing for lightweight alloys used in the automotive and aerospace industries because they reduce melt-related defects and the …
Published in International Journal of Manufacturing and Materials Processing · Vol. 11, Issue 2, 2025 · pp. 35–40 Read article