S-convexity: the variable radius case
We generalize, to the variable radius case, the main results contained in a recent paper of the authors [A new class of sets regularity, J. Convex Analysis 25/4 (2018) 1059--1074], where a new regularity class, called S-convexity, is studied and shown to cover well-known regularity properties, inclu...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2022
|
| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/14656 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.heldermann.de/JCA/JCA29/JCA294/jca29065.htm |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| الملخص: | We generalize, to the variable radius case, the main results contained in a recent paper of the authors [A new class of sets regularity, J. Convex Analysis 25/4 (2018) 1059--1074], where a new regularity class, called S-convexity, is studied and shown to cover well-known regularity properties, including ϕ0-convexity, θ0-exterior sphere condition, and &psi0-union of closed balls property. Furthermore, we provide using S-convexity, new additional characterizations of the variable and the constant radius form of these three regularity properties. |
|---|