FIXED POINT THEOREMS OVER $\mathfrak{B}$-METRIC-LIKE SPACES AND APPLICATIONS IN ELECTRIC CIRCUIT EQUATIONS

Mohammed M. A. Taleb; Saeed A. A. Al-Salehi; Shah Muhammad; V. C. Borkar

doi:10.11948/20240259

2025 Volume 15 Issue 3

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Article navigation > Journal of Applied Analysis & Computation > 2025 > 15(3): 1430-1452

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Mohammed M. A. Taleb, Saeed A. A. Al-Salehi, Shah Muhammad, V. C. Borkar. FIXED POINT THEOREMS OVER $\mathfrak{B}$-METRIC-LIKE SPACES AND APPLICATIONS IN ELECTRIC CIRCUIT EQUATIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1430-1452. doi: 10.11948/20240259

Citation:

Mohammed M. A. Taleb, Saeed A. A. Al-Salehi, Shah Muhammad, V. C. Borkar. FIXED POINT THEOREMS OVER $\mathfrak{B}$-METRIC-LIKE SPACES AND APPLICATIONS IN ELECTRIC CIRCUIT EQUATIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1430-1452. doi: 10.11948/20240259

FIXED POINT THEOREMS OVER $\mathfrak{B}$-METRIC-LIKE SPACES AND APPLICATIONS IN ELECTRIC CIRCUIT EQUATIONS

1.
Department of Mathematics, Science College, Swami Ramanand Teerth Marathwada University, Nanded-431606, India
2.
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
3.
Department of Mathematics, Yeshwant Mahavidyalaya, Swami Ramanand Teerth Marathwada University, Nanded-431606, India

Author Bio: Email: alsalehi.saeed72@gmail.com(S. A. A. Al-Salehi); Email: skabeer@ksu.edu.sa(S. Muhammad); Email: borkarvc@gmail.com(V. C. Borkar)
Corresponding author: Email: mohaayedtaleb@gmail.com(M. M. A. Taleb)
Fund Project: The authors were supported by King Saud University, Riyadh, Saudi Arabia (RSPD2025R733)

Abstract

Abstract

In this article, we introduce the notion of $\alpha$-admissible crooked mapping with respect to $\theta$ with its special cases, which are $\alpha$-admissible crooked mapping with respect to $\theta^*$ and $\alpha^*$-admissible crooked mapping with respect to $\theta$. We present the notion of $(\beta\gamma, \alpha\theta, \psi F)$-rational contraction and establish new fixed point results over $\mathfrak{b}$-metric-like space. The study includes illustrative examples to support our results. Furthermore, we apply our results to prove the existence and uniqueness solution of the electric circuit equation, which is in second-order differential equation form.
MSC: 47H10, 54H25

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References

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