Applications to Kirchoff's law and Wheatstone bridge model through fixed point approach in the setting of interpolative metric spaces

Kajal Sharma; Manoj Kumar; Rajagopalan Ramaswamy; Abdulaziz Almaslokh; Kajal Sharma; Manoj Kumar; Rajagopalan Ramaswamy; Abdulaziz Almaslokh

doi:10.3934/math.20261301

AIMS Mathematics

2026, Volume 11, Issue 10: 33238-33253. doi: 10.3934/math.20261301

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Applications to Kirchoff's law and Wheatstone bridge model through fixed point approach in the setting of interpolative metric spaces

1.
Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala 133207, Haryana, India
2.
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

Received: 08 August 2026 Revised: 15 September 2026 Accepted: 21 September 2026 Published: 14 October 2026
MSC : : 47H10, 54H25

The notion of Jaggi-Suzuki-type hybrid contraction in interpolative metric space was presented in this study and some fixed point results were proved for such mappings. An example was also given to confirm the main result's validity.The theory that was presented expanded a number of previous findings. Additionally, a Jaggi-Suzuki type hybrid interpolative fixed point theorem was used to illustrate applications to an integral equation and electrical models, such as the Wheatstone bridge and an Inductor-Capacitor-Resistor (LCR) circuit via Kirchhoff's law.
- fixed point,
- interpolative metric space,
- hybrid contraction,
- metric space
Citation: Kajal Sharma, Manoj Kumar, Rajagopalan Ramaswamy, Abdulaziz Almaslokh. Applications to Kirchoff's law and Wheatstone bridge model through fixed point approach in the setting of interpolative metric spaces[J]. AIMS Mathematics, 2026, 11(10): 33238-33253. doi: 10.3934/math.20261301

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Abstract

The notion of Jaggi-Suzuki-type hybrid contraction in interpolative metric space was presented in this study and some fixed point results were proved for such mappings. An example was also given to confirm the main result's validity.The theory that was presented expanded a number of previous findings. Additionally, a Jaggi-Suzuki type hybrid interpolative fixed point theorem was used to illustrate applications to an integral equation and electrical models, such as the Wheatstone bridge and an Inductor-Capacitor-Resistor (LCR) circuit via Kirchhoff's law.

References

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