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Fixed points for Banach and Kannan contractions in $G$-metric spaces endowed with a graph | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 31، دوره 12، شماره 2، بهمن 2021، صفحه 297-304 اصل مقاله (368.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.3678 | ||
| نویسندگان | ||
| Nahid Sadat Mohseni* 1؛ Hashem P. Masiha2؛ Hamid Mamghaderi2 | ||
| 1Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran. | ||
| 2K. N. Toosi University of Technology | ||
| تاریخ دریافت: 27 آبان 1395، تاریخ بازنگری: 13 اسفند 1397، تاریخ پذیرش: 21 آبان 1398 | ||
| چکیده | ||
| In this paper, we discuss the existence of fixed points for Banach and Kannan contractions defined on $G$-metric spaces, which were introduced by Mustafa and Sims, endowed with a graph. Our results generalize and unify some recent results by Jachymski, Bojor and Mustafa and those contained therein. Moreover, we provide some examples to show that our results are substantial improvement of some known results in literature. | ||
| کلیدواژه‌ها | ||
| Fixed point؛ $G$-metric spaces؛ Banach contraction؛ Kannan contraction | ||
| مراجع | ||
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