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Best proximant for set-valued maps via proximal relations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 95، دوره 14، شماره 1، فروردین 2023، صفحه 1237-1247 اصل مقاله (383.92 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25299.2983 | ||
| نویسندگان | ||
| Sudheer Petwal1؛ Anita Tomar* 2؛ Meena Joshi3 | ||
| 1Government Post Graduate College, Agastyamuni, Uttarakhand-246421, India | ||
| 2Pt. L. M. S. Campus, Sridev Suman Uttarakhand University, Rishikesh-249201, India | ||
| 3S. S. J. Campus, Soban Singh Jeena Uttarakhand University, Almora-263601, India | ||
| تاریخ دریافت: 30 آبان 1400، تاریخ بازنگری: 15 شهریور 1400، تاریخ پذیرش: 14 مهر 1401 | ||
| چکیده | ||
| We familiarize AM and SAM−contractions involving rational terms to prove the best proximant for discontinuous set-valued maps in partially ordered metric spaces. In the sequel, we demonstrate that completeness of space or subspace is not mandatory for the survival of the best proximant of set-valued maps. Obtained outcomes are unifications, extensions, improvements, and generalizations of some of the widely known results. We provide non-trivial illustrations to exhibit the importance of our explorations. | ||
| کلیدواژهها | ||
| Weak P− property؛ α-proximal admissible؛ partially ordered | ||
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