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

Arul Joseph Gnanaprakasam, Gunaseelan Mani, Santosh Kumar and Qiankun Song

Journal of Applied Mathematics, 2024, vol. 2024, 1-10

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:4702847

DOI: 10.1155/2024/4702847

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