
تعداد نشریات | 21 |
تعداد شمارهها | 610 |
تعداد مقالات | 9,027 |
تعداد مشاهده مقاله | 67,082,778 |
تعداد دریافت فایل اصل مقاله | 7,656,173 |
Boyd-Wong and Meir-Keeler type contractions in a new generalized b-metric space | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 5، دوره 16، شماره 2، اردیبهشت 2025، صفحه 51-57 اصل مقاله (370.69 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30105.4333 | ||
نویسنده | ||
Somayeh Saiedinezhad* | ||
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran | ||
تاریخ دریافت: 14 اسفند 1401، تاریخ پذیرش: 10 دی 1402 | ||
چکیده | ||
In this paper, we established the Boyd-Wong type and Meir-Keeler type contractions in a new generalized b-metric space. Two types of fixed point theorems are proven, which extend the same results in the metric and b-metric spaces. Some examples and an application are also discussed to show the applicability of the results. | ||
کلیدواژهها | ||
generalized b-metric؛ Boyd-Wong contraction؛ Meir-Keeler contraction؛ fixed point | ||
مراجع | ||
[1] I.A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst. 30 (1989), 26–37. [2] V. Berinde, Generalized contractions in quasimetric spaces, Seminar Fixed Point Theory 3 (1993), no. 9, 3–9. [3] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Pub. Math. Debrecen 57 (2000), no. 1-2, 31–37. [4] S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Univ. Modena 46 (1998), 263–276. [5] D. Gopal, P. Kumam, and M. Abbas, Background and Recent Developments of Metric Fixed Point Theory, CRC Press, 2017. [6] J. Heinonen, Lectures on Analysis on Metric Spaces, Springer Berlin, 2001. [7] M. Jleli and B. Samet, A generalized metric space and related fixed point theorems, Fixed Point Theory Appl. 2015 (2015), no. 1, 1–14. [8] E. Karapinar, S. Czerwik, and H. Aydi, Meir-Keeler contraction mappings in generalized-metric spaces, J. Funct. Spaces 2018 (2018). [9] A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), no. 2, 326–329. [10] I.R. Petre, Fixed point theorems in Eb-metric spaces, J. Nonlinear Sci. Appl. 7 (2014), no. 4, 264–271. [11] S. Rathee, K. Dhingra, and A. Kumar, Various contractions in generalized metric space, Bol. Soc. Paranaense Mate. 39 (2021), no. 4, 111–130. [12] V. Singh and P. Singh, Fixed point in a convex generalized b-metric space, Adv. Math.: Sci. J. 10 (2021), no. 3, 1145–1152. [13] J. Vujakovic, S. Mitrovic, M. Pavlovic, and S. Radenovic, On recent results concerning F-contraction in generalized metric spaces, Mathematics 8 (2020), no. 5, 767. | ||
آمار تعداد مشاهده مقاله: 322 تعداد دریافت فایل اصل مقاله: 239 |