پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 642 |
| تعداد مقالات | 9,410 |
| تعداد مشاهده مقاله | 68,136,503 |
| تعداد دریافت فایل اصل مقاله | 40,087,174 |
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 | ||
|
[1] A. Azam, B. Fisher, and M. Khan, Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim. 32 (2011), 243–253. [2] J. Choi, S. K. Datta, T. Biswas, and N. Islam, Some fixed point theorems in connection with two weakly compatible mappings in bicomplex valued metric spaces, Honam Math. J. 39 (2017), no. 1, 115–126. [3] G. Mani, A.J. Gnanaprakasam, A.U. Haq, I.A. Baloch, and F. Jarad, Common fixed point theorems on tricomplex valued metric space, Math. Prob. Engin. 2022 (2022), 12 pages. [4] N.M. Mlaika, Common fixed points in complex S-metric space, Adv. Fixed Point Theory 4 (2014), 509–524. [5] N.Y. Ozgur and N. Tas, The Picard theorem on S-metric spaces, Acta Math. Sci. 38 (2018), 1245–1258. [6] G.B. Price, An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, New York, NY, USA, 1991. [7] K. Prudhvi, Fixed point theorems in S-metric spaces, Univer. J. Comput. Math. 3 (2015), 19–21. [8] S. Sedghi and N.V. Dung, Fixed point theorems on S-metric spaces, Mat. Vesnik, 66 (2014), 113–124. [9] S. Sedghi, N. Shobe, and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik 64 (2012), 258–266. [10] C. Segre, Le rappresentazioni reali delle forme complesse a Gli Enti iperalgebrici, Math. Ann. 40 (1892), no. 3, 413–467. [11] G. Siva, Fixed point theorems in tricomplex valued bipolar metric spaces, Roman. J. Math. Comput. Sci. 12 (2022), 4–74. [12] G. Siva, Fixed points of contraction mappings with variations in S-metric space domains, Math. Student 91 (2022), 173–185. [13] G. Siva, Fixed points in bicomplex valued S-metric spaces with applications, Surveys Math. Appl. 18 (2023), 329–341. [14] G. Siva, and S. Loganathan, Weak convergence of fixed point iterations in S-metric spaces, J. Mahani Math. Res. 13 (2023), 565–576. [15] G. Siva, Complex valued bipolar metric spaces and fixed point theorems., Commun. Nonlinear Anal. 11 (2023), no. 2, 1–10. [16] G. Siva, Bicomplex valued bipolar metric spaces and fixed point theorems, Math. Anal. Contemp. Appl. 4 (2022), no. 1, 29–43. | ||
|
آمار تعداد مشاهده مقاله: 491 تعداد دریافت فایل اصل مقاله: 401 |
||