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Error bounds of lower semi-continuous convex-along-rays functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 14، شماره 10، دی 2023، صفحه 139-153 اصل مقاله (471.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27375.3577 | ||
| نویسندگان | ||
| Amir Mahdi Bornayoon* 1؛ Hossein Mohebi2 | ||
| 1Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | ||
| 2Department of Mathematics and Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Iran | ||
| تاریخ دریافت: 14 خرداد 1401، تاریخ بازنگری: 22 دی 1401، تاریخ پذیرش: 16 بهمن 1401 | ||
| چکیده | ||
| In this paper, we study Lipschitz global error bounds for lower semi-continuous convex-along-rays (l.s.c. CAR) functions. We find a condition that ensures the existence of a global error bound for a CAR function. Moreover, we find a condition under which an l.s.c. CAR function does not have a Lipschitz global error bound. Finally, we survey Lipschitz's global error bounds of an l.s.c. (in particular, an l.s.c. CAR) function from the perspective of abstract convexity. | ||
| کلیدواژه‌ها | ||
| Convex-along-rays functions؛ Global error bound؛ Abstract convexity | ||
| مراجع | ||
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