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]
Copyright of IEEE Canadian Journal of Electrical & Computer Engineering is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: 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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  Data: <i>Copyright of IEEE Canadian Journal of Electrical & Computer Engineering is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1109/ICJECE.2026.3653420
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 188
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      – SubjectFull: Point mappings (Mathematics)
        Type: general
      – SubjectFull: Hausdorff spaces
        Type: general
      – SubjectFull: Resistor-inductor-capacitor circuits
        Type: general
      – SubjectFull: Metric spaces
        Type: general
      – SubjectFull: Hausdorff measures
        Type: general
      – SubjectFull: Electric circuits
        Type: general
      – SubjectFull: Differential equations
        Type: general
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      – TitleFull: G -Hausdorff Kannan Mapping and Proximal G -Hausdorff Kannan Mapping in S b Metric Space.
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              Text: Spring 2026
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              Y: 2026
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