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New common best proximity point theorems in complete metric space with weak $P$-property | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1289-1297 اصل مقاله (335.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.18535.2020 | ||
| نویسندگان | ||
| Ali Ganjbakhsh Sanatee* 1؛ Mahdi Iranmanesh2 | ||
| 1Department of Mathematics, Quchan University of Technology, Quchan, Iran | ||
| 2Department of pure Mathematics, Shahrood University of Tehnology, Shahrood, Iran | ||
| تاریخ دریافت: 02 شهریور 1398، تاریخ بازنگری: 09 آبان 1398، تاریخ پذیرش: 10 آبان 1398 | ||
| چکیده | ||
| In this paper, we define $\phi$-contraction, after that; we obtained the common best proximity point results for different types of contractions in the setting of complete metric spaces by using weak p-property and proved the uniqueness of these points. Also, we presented an example to support our results. | ||
| کلیدواژه‌ها | ||
| common best proximity point؛ weak $P$-property؛ $phi$-contraction | ||
| مراجع | ||
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es [1] A. Abkar and M. Gabeleh, Generalized cyclic contractions in partially ordered metric spaces, Optim. Lett. 6 (2011) 1819–1830. [2] A. Abkar and M. Gabeleh, Best proximity points for asymptotic cyclic contraction mappings, Nonlinear Anal. 74 (2011) 7261–7268. [3] C. Di Bari, T. Suzuki and C. Vetro, Best proximity points for cyclic Meir-Keeler contractions, Nonlinear Anal. 69 (2008) 3790–3.[4] A.A.Eldred, W.A. Kirk and P. Veeramani, Proximal normal structure and relatively nonexpansive mappings, Studia Math. 171 (2005) 283–293. [5] J. G´ornicki, Fixed point theorems for Kannan type mappings, J. Fixed Point Theory Appl. 19 (2017) 2145–2152. [6] R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968) 71–76. [7] S. Mondal and L. Kanta Dey, Some common best proximity point theorems in a complete metric space, Afrika Mat. 28 (2017) 85–97. [8] S. Radenovi´c, A note on fixed point theory for cyclic φ−contractions, Fixed Point Theory Appl. 2015 (2015) Article Number: 189. [9] S. Sadiq Basha and N. Shahzad, Common best proximity point theorems: Global minimization of some real-valued multi-objective functions, J. Fixed Point Theory Appl. 18 (2016) 587–600. [10] B. Samet, C. Vetro and P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Anal. 75 (2012) 2154–2165. [11] J. Zhang, Y. Su and Q. Cheng, A note on A best proximity point theorem for Geraghty-contractions, Fixed Point Theory Appl. 2013 (2013) Article Number: 99. | ||
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