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

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.