<p>One field of the ongoing research is the development of a more unifying functional equations in generalized spaces. In this direction, this paper introduces a combinational concept, under the name <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13661_2025_2068_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mi>θ</mi> <mo>,</mo> <mi>φ</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(\theta , {\varphi})$</EquationSource> </InlineEquation>-hybrid Jaggi–Meir–Keeler contractions, and then proposes conditions for the existence of fixed points for such operators on modular metric spaces. The obtained results are then test-run on an RLC-electric circuit model, reformulated as a fixed point problem. Supportive examples and a few corollaries are presented to highlight the connection of the overall ideas herein with respect to the exiting brochures.</p>

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New views on RLC-electric circuit models via combinational contractions

  • Mohammed Shehu Shagari,
  • Faryad Ali,
  • Monairah Alansari,
  • Akbar Azam

摘要

One field of the ongoing research is the development of a more unifying functional equations in generalized spaces. In this direction, this paper introduces a combinational concept, under the name ( θ , φ ) $(\theta , {\varphi})$ -hybrid Jaggi–Meir–Keeler contractions, and then proposes conditions for the existence of fixed points for such operators on modular metric spaces. The obtained results are then test-run on an RLC-electric circuit model, reformulated as a fixed point problem. Supportive examples and a few corollaries are presented to highlight the connection of the overall ideas herein with respect to the exiting brochures.