Generalized exterior sphere conditions and varphi-convexity

Nour, Chadi; Stern, Ron J.; Takche, Jean

Generalized exterior sphere conditions and varphi-convexity

Nour, Chadi; Stern, Ron J.; Takche, Jean; SAS; 200502681; 198790400; Computer Science and Mathematics; jtakchi@lau.edu.lb; chadi.nour@lau.edu.lb

URI: http://hdl.handle.net/10725/3519

URL: http://aimsciences.org/journals/displayReferences.jsp?paperID=5583

Date: 2016-04-08

Abstract:

We consider sets S С R satisfying a certain exterior sphere condition, and it is shown that under wedgedness of S, it coincides with φ-convexity. We also offer related improvements concerning the union of uniform closed balls conjecture.

Citation:

Nour, C., Stern, R. J., & Takche, J. (2011). Generalized exterior sphere conditions and $\ varphi $-convexity. Discrete and Continuous Dynamical Systems (DCDS-A), 29(2), 615-622.