Search
5 articles for “metric topology”
-
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
-
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
-
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
-
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
-
Performance Study of AODV, OLSR, and DSDV Routing Protocols in Mobile AD HOC Networks
Abstract: This study presents a performance evaluation of three prominent routing protocols in mobile ad hoc network: ad-hoc on-demand distance vector, optimized link state routing, and destination-sequenced distance vector. Efficient routing protocols are required to be sustained in dependable communication in mobile ad hoc network due to the dynamic and decentralized nature of the network. Ad hoc on-demand distance vector belongs to the reactive protocol category that creates routes on demand; …
Published in International Journal of Microwave Engineering and Technology · Vol. 10, Issue 2, 2024 · pp. 38–60 Read article