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Remotest points and approximate remotest points in G-metric spaces | ||
Journal of Mahani Mathematical Research | ||
دوره 11، شماره 2 - شماره پیاپی 22، مرداد 2022، صفحه 75-82 اصل مقاله (458.52 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmrc.2022.16468.1122 | ||
نویسندگان | ||
Marzieh Ahmadi Baseri* ؛ H. Mazaheri | ||
Department of Mathematics, Yazd University, Yazd, Iran. | ||
چکیده | ||
The aim of this paper is to define the concepts of remotest points and approximate remotest points in G-metric spaces and obtain some existence results on these concepts. In particular, we define G-remotest points and G-ϵ-approximate remotest points by considering a cyclic map and prove some results in G-metric spaces. | ||
کلیدواژهها | ||
G-remotest points؛ G-ϵ-approximate remotest points؛ Cyclic maps؛ G-metric spaces | ||
مراجع | ||
[1] M. Ahmadi Baseri, H. Mazaheri, Remotest points and approximate remotest points in metric spaces, Iranian Journal of Science and Technology,Transactions A: Science, (2015) pp.4.
[2] M. Ahmadi Baseri, H. Mazaheri, On farthest points in fuzzy normed spaces, Jordan Journal of Mathematics and Statistics, 12.2 (2019), 103-114
[3] M. Ahmadi Baseri, H. Mazaheri, Remotest points and best proximity points in metric spaces, Universal Journal of Applied Mathematics, 7(4), (2019), 53-58.
[4] M. Ahmadi Baseri, H. Mazaheri and T. D. Narang, Some results on convergence and existence of best proximity points, Journal of Mahani Mathematical Research Center, 7(1), (2018), 13-24.
[5] M. Baronti, A note on remotal sets in Banach spaces, Publication de L;Institute Math, (53) (1993) 95-98.
[6] M. Baronti, P. L. Papini, Remotal sets revisted, Taiwanese J. Math, (5) (2001) 367-373.
[7] B. S. Choudhury, P. Maity, Best Proximity Point Results in Generalized Metric Spaces. Vietnam Journal of Mathematics, (2014) 1-11.
[8] A. Dehghan Nezhad, H. Mazaheri, New results in Gbest approximation in Gmetric spaces. Ukrainian Mathematical Journal, 62, (2010) 648-654.
[9] N. Hussain, A. Latif, and P. Salimi, Best Proximity Point Results in GMetric Spaces, Abstract and Applied Analysis, (2014) (2014).
[10] Z. Mustafa, B. Sims, A new approach to a generalized metric spaces, J. Nonlinear Convex Anal, (7) (2006) 289-297.
[11] M. Sababheh, R. Khalil, Remotality of closed bounded convex sets in re exive spaces, Numer Funct. Anal. Optim, (29) (2006) 1166-1170.
[12] V. Zizler, On some extremal problems in Banach spaces, Math. Scand, (32) (1973) 214-224. | ||
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