پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,028 |
| تعداد مشاهده مقاله | 67,082,915 |
| تعداد دریافت فایل اصل مقاله | 7,656,369 |
Bipolar R-metric space and fixed point result | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 61، دوره 13، شماره 2، مهر 2022، صفحه 709-712 اصل مقاله (294.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23270.2512 | ||
| نویسندگان | ||
| Astha Malhotra؛ Deepak Kumar* | ||
| Department of Mathematics, Lovely Professional University, Phagwara, 144411, India | ||
| تاریخ دریافت: 07 اردیبهشت 1400، تاریخ بازنگری: 04 بهمن 1400، تاریخ پذیرش: 29 فروردین 1401 | ||
| چکیده | ||
| In this paper, we introduce the notion of Bipolar R-metric space that in a way enriches the present literature. Here, on associating a binary relation R with bipolar metric space, we obtain a fixed point result which is well supported with an illustrative example. | ||
| کلیدواژه‌ها | ||
| R-metric space؛ Bipolar metric space؛ Bipolar R-metric space, Fixed point | ||
| مراجع | ||
|
[1] A. Alam and M. Imdad, Relation-theoretic contraction principle, J. Fixed Point Theory Appl. 17 (2015), 693–702. [2] S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations integrales, Fund. Math. 3 (1922), 133–181. [3] V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9 (2004), 43–54. [4] V. Berinde, General constructive fixed point theorems for Ciric-type almost contractions in metric spaces, Carpathian J. Math. 24 (2008), 10–19. [5] D. Gopal, M. Abbas, D.K. Patel and C. Vetro, Fixed points of α-type F-contractive mappings with an application to nonlinear fractional differential equation, ACTA Math. Sci. 36 (2016), 957–970. [6] S. Khalehoghli, H. Rahimi and M. Eshaghi Gordji, R-topological spaces and SR-topological spaces with their applications, Math. Sci. 14 (2020), 249—255. [7] S. Khalehoghli, H. Rahimi and M. Eshaghi Gordji, Fixed point theorems in R-metric spaces with applications, AIMS Math. 5 (2020), 3125–3137. [8] A. Mutlu and U. G¨urdal, Bipolar metric spaces and some fixed point theorems, J. Nonlinear Sci. Appl. 9 (2016), 5362–5373. [9] T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861–1869. [10] D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012 (2012), Paper No. 94. | ||
|
آمار تعداد مشاهده مقاله: 44,146 تعداد دریافت فایل اصل مقاله: 439 |
||