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Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb-Metric Spaces

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  • Naveen Mani
  • Aruhi Somal
  • Sunil Beniwal
  • Rahul Shukla

Abstract

The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb-metric spaces. To substantiate our findings, some examples with graphical representation are also given. Moreover, as an application of our findings, the existence and uniqueness of common solution to the system of integral equations followed by an example are presented.

Suggested Citation

  • Naveen Mani & Aruhi Somal & Sunil Beniwal & Rahul Shukla, 2025. "Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb-Metric Spaces," International Journal of Differential Equations, Hindawi, vol. 2025, pages 1-14, July.
    • Handle: RePEc:hin:jnijde:1226661
    DOI: 10.1155/ijde/1226661
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