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On a best proximity point theorems for \alpha,d_{G}-regular contractive type mappings in G-metric spaces | ||
| Computational Sciences and Engineering | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 01 بهمن 1402 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22124/cse.2024.26472.1071 | ||
| نویسندگان | ||
| Azizollah Babakhani* 1؛ Sami H. Jasem2؛ Sayyed Hashem Rasouli3 | ||
| 1Babol Noshirvani University of Technology | ||
| 2Department of Mathematics, Babol Noshirvani University of Technology | ||
| 3Department of Mathematics, Babol Noshirvani University of Technology, Babol-Iran | ||
| چکیده | ||
| We consider the $G-$ metric space with including the $P-$property which are introduced by Z. Mustafa and B. Sims (Nonlinear Convex Anal. 7 (2006) 289-297) and presented by B. Samet and et al. in a metric space (Nonlinear Anal. 4 (75) (2012) 2154--2165) respectively. In the present work we define $P-$property in a $G-$ metric space and proved that under which various conditions there exist a best proximity point for non-self‐mapping in $G-$metric space. Also, we introduced for a certain such mappings which its best proximity point is unique under further conditions. | ||
| کلیدواژه‌ها | ||
| Best proximity point؛ \alpha-\psi-proximal contractive؛ G-metric space | ||
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آمار تعداد مشاهده مقاله: 58 |
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