G -Hausdorff Kannan Mapping and Proximal G -Hausdorff Kannan Mapping in S b Metric Space.

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Title: G -Hausdorff Kannan Mapping and Proximal G -Hausdorff Kannan Mapping in S b Metric Space.
Authors: Selvapriya, P.1 pselvapriya099@gmail.com, Dhivya, P.1 dhivyapari.10@gmail.com
Source: IEEE Canadian Journal of Electrical & Computer Engineering. Spring 2026, Vol. 49 Issue 2, p188-197. 10p.
Subjects: Point mappings (Mathematics), Hausdorff spaces, Resistor-inductor-capacitor circuits, Metric spaces, Hausdorff measures, Electric circuits, Differential equations
Abstract: In this article, we introduced G-Hausdorff Kannan mapping and proximal G-Hausdorff Kannan mapping in $S_{b}$ metric space, and it is used to generalize generalized Kannan mapping. The article demonstrates the application of the proposed mappings to solve an electric circuit equation formulated as a second-order differential equation. This is particularly relevant to circuit theory, where voltage–current relationships in RLC circuits can be transformed into equivalent fixed-point problems. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this article, we introduced G-Hausdorff Kannan mapping and proximal G-Hausdorff Kannan mapping in $S_{b}$ metric space, and it is used to generalize generalized Kannan mapping. The article demonstrates the application of the proposed mappings to solve an electric circuit equation formulated as a second-order differential equation. This is particularly relevant to circuit theory, where voltage–current relationships in RLC circuits can be transformed into equivalent fixed-point problems. [ABSTRACT FROM AUTHOR]
ISSN:26941783
DOI:10.1109/ICJECE.2026.3653420