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Existence of Unique Solution of Urysohn and Fredholm Integral Equations in Complex Double Controlled Metric Type Spaces

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  • Sahibzada Waseem Ahmad
  • Muhammad Sarwar
  • Gul Rahmat
  • Fahd Jarad
  • Akif Akgul

Abstract

Complex Urysohn integral equations and complex Fredholm integral equation of the second kind have intensified the attention of appreciable researchers to their solution due to their comprehensive applications. This study is devoted to the existence and uniqueness of solution to these integral equations in the setting of complete complex double controlled metric spaces via fixed point theory. For this motive, a fixed point result together with a numerical example for the convergence behavior of operator to the fixed point is analyzed in the context of the quoted metric spaces.

Suggested Citation

  • Sahibzada Waseem Ahmad & Muhammad Sarwar & Gul Rahmat & Fahd Jarad & Akif Akgul, 2022. "Existence of Unique Solution of Urysohn and Fredholm Integral Equations in Complex Double Controlled Metric Type Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:4791454
    DOI: 10.1155/2022/4791454
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