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Fixed points in tricomplex valued S-metric spaces with applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 16، شماره 3، خرداد 2025، صفحه 115-123 اصل مقاله (340.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.31494.4646 | ||
| نویسنده | ||
| G. Siva* | ||
| Department of Mathematics, Alagappa University, Karaikudi-630 003, India | ||
| تاریخ دریافت: 22 مرداد 1402، تاریخ بازنگری: 03 بهمن 1402، تاریخ پذیرش: 14 بهمن 1402 | ||
| چکیده | ||
| The concept of tricomplex valued S-metric space is introduced in this article, and some properties are derived. Also, some fixed point results of contraction maps satisfying various types of rational inequalities are proved for tricomplex valued S-metric spaces. Moreover, an example is given to illustrate our main result. Furthermore, an existence theorem for the unique solution to the linear system of equations is obtained by using our main result. | ||
| کلیدواژه‌ها | ||
| Complex number؛ Partial order؛ S-metric space؛ Nonsingular | ||
| مراجع | ||
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