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Regularity properties for convex-like $C(T)$-valued functions on Hilbert spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 03 مهر 1403 اصل مقاله (408.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33909.5061 | ||
| نویسندگان | ||
| Elham Behroozizadeh؛ Zeinab Izadi* ؛ Gholamreza Moghimi؛ Javad Izadi | ||
| Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran | ||
| تاریخ دریافت: 11 اردیبهشت 1403، تاریخ بازنگری: 07 شهریور 1403، تاریخ پذیرش: 19 شهریور 1403 | ||
| چکیده | ||
| In this paper, we introduce several regularity properties for the non-differentiable convex-like $C(T)$-valued functions which are defined on a Hilbert space. The relationships with various regularity properties are investigated. All results are given in terms of the convex subdifferential. Non-trivial numerical examples are incorporated to demonstrate the validity of the results established in this paper. To the best of our knowledge, this paper is the first to investigate the regularity properties for the $C(T)$-valued functions, even in the differentiable case of finite-dimensional spaces. | ||
| کلیدواژه‌ها | ||
| $C(T)$-valued function؛ Regularity property؛ Hilbert space؛ Convex subdifferential | ||
| مراجع | ||
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