Relation between electrical resistance and conductance using multifarious functional equations and applications to parallel circuit

Abstract In this paper, we introduce a new generalized p -dimensional multifarious radical reciprocal functional equation combining three classical means: arithmetic, geometric, and harmonic. Mainly, find its general solution stability related to the Ulam problem in modular spaces by using fixed point method with suitable counterexamples. Importantly, illustrate geometrical interpretation applications of introduced Pythagorean means connection parallel circuit. Furthermore, provide formula for finding equivalent resistance $R_{\mathrm{eq}}$ R eq electrical circuit equations, which relates resistances conductances examples.