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Weak convergence of fixed point iterations in $S$-metric spaces | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 1 - شماره پیاپی 26، بهمن 2023، صفحه 563-574 اصل مقاله (519.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.21119.1407 | ||
| نویسندگان | ||
| Siva G* 1؛ Loganathan S2 | ||
| 1Department of Mathematics, Alagappa University, Karaikudi-630 003, India | ||
| 2PG and Research Department of Mathematics, Sethupathy Government Arts College, Ramanathapuram-623502, India | ||
| چکیده | ||
| This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result. | ||
| کلیدواژه‌ها | ||
| Weak convergence؛ Semi S-metric space؛ Directed set | ||
| مراجع | ||
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