Journal of applied mathematics & informatics

  • 제42권4호
  • /
  • Pages.749-759
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  • 2024
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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A NEW CONTRACTION BY UTILIZING H-SIMULATION FUNCTIONS AND Ω-DISTANCE MAPPINGS IN THE FRAME OF COMPLETE G-METRIC SPACES

  • AHMED AL-ZGHOUL (Department of Mathematics, Faculty of Science and Information Technology, Jadara University) ;
  • TARIQ QAWASMEH (Department of Mathematics, Faculty of Science and Information Technology, Jadara University) ;
  • RAED HATAMLEH (Department of Mathematics, Faculty of Science and Information Technology, Jadara University) ;
  • ABEDALKAREEM ALHAZIMEH (Department of Mathematics, Faculty of Science and Information Technology, Jadara University)
  • 투고 : 2023.06.02
  • 심사 : 2024.06.09
  • 발행 : 2024.07.30
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초록

In this manuscript, we formulate the notion of Ω(H, θ)-contraction on a self mapping f : W → W, this contraction based on the concept of Ω-distance mappings equipped on G-metric spaces together with the concept of H-simulation functions and the class of Θ-functions, we employ our new contraction to unify the existence and uniqueness of some new fixed point results. Moreover, we formulate a numerical example and a significant application to show the novelty of our results; our application is based on the significant idea that the solution of an equation in a certain condition is similar to the solution of a fixed point equation. We are utilizing this idea to prove that the equation, under certain conditions, not only has a solution as the Intermediate Value Theorem says but also that this solution is unique.

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과제정보

The authors wish to thank the reviewers for valuable comments and suggestions.

참고문헌

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