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New generalization of the best proximity point problem | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 2 - شماره پیاپی 25، مرداد 2023، صفحه 471-479 اصل مقاله (453.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.20124.1326 | ||
| نویسنده | ||
| M.R. Haddadi* | ||
| Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran | ||
| چکیده | ||
| Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup D\to C\cup D$. In fact, we give a generalization of best proximity point results for cyclic contractive mappings. To this end, we consider an example is presented to support the main result. | ||
| کلیدواژه‌ها | ||
| Common best proximity point؛ coincidence point؛ metric space؛ fixed point | ||
| مراجع | ||
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[8] P. Kumam and C. Mongkolekeha, Common best proximity points for proximity commuting mapping with Geraghty's functions, Carpathian Journal of Mathematics, vol. 31, no. 3 (2015) 359|364
[9] L. Chen, Common best proximity points theorems, Journal of Management Research and Analysis, vol. 39, no. (2019) 289|294
[10] Raj V. Sankar ,P. Veeramani, Best proximity pair theorems for relatively nonexpansive mappings, Appl. Gen. Topol., vol. 10, 1 (2009)21{28 | ||
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