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Technique of Tripled Fixed Point Results on Orthogonal G-Metric Spaces

Author

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  • Arul Joseph Gnanaprakasam
  • Gunaseelan Mani
  • Santosh Kumar
  • Qiankun Song

Abstract

In this article, we introduce a novel concept of orthogonal nonlinear contraction and establish some tripled fixed point theorems for this class of contractions in the framework of an orthogonal complete G-metric space. An appropriate example demonstrates the validity of the main results, highlighting the advantages of the comparable literature. The results proved here will be utilized to show the existence of a solution to an integral equation in applications.

Suggested Citation

  • Arul Joseph Gnanaprakasam & Gunaseelan Mani & Santosh Kumar & Qiankun Song, 2024. "Technique of Tripled Fixed Point Results on Orthogonal G-Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2024, pages 1-10, October.
    • Handle: RePEc:hin:jnljam:4702847
    DOI: 10.1155/2024/4702847
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