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On a best proximity point theorems for (α,d_G)-regular contractive type mappings in G-metric spaces | ||
| Computational Sciences and Engineering | ||
| دوره 4، شماره 2، آذر 2024، صفحه 309-318 اصل مقاله (360.75 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22124/cse.2024.26472.1071 | ||
| نویسندگان | ||
| Sami H. Jasem؛ Sayyed Hashem Rasouli؛ Azizollah Babakhani* | ||
| Department of Mathematics, Faculty of Basic Sciences, 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؛ α-ψ-proximal contractive؛ G-metric space | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 7 تعداد دریافت فایل اصل مقاله: 4 |
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