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.

Arul Joseph Gnanaprakasam

Gunaseelan Mani

Santosh Kumar

Journal of Applied Mathematics

JOURNAL OF APPLIED MATHEMATICS 是一本专业期刊，致力于在应用、计算和工业数学的所有领域发表原创研究论文和评论文章。

The Journal of Applied Mathematics is a professional journal dedicated to publishing original research papers and review articles in all areas of applied, computational, and industrial mathematics.

《Journal of Applied Mathematics》是一本专业期刊，专注于应用、计算和工业数学领域，发表原创研究论文和评论文章。

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

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Journal Info

Category	Quartile
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS	3