Limiting proper minimal points of nonconvex sets in finite-dimensional spaces


Shahbeyk, Shokouh  and Soleimani-damaneh, Majid


Abstract

carpathian_2019_35_3_379_384_abstract

In this paper, limiting proper minimal points of nonconvex sets in Euclidean finite-dimensional spaces are investigated. The relationships between these minimal points and Borwein, Benson, and Henig proper minimal points, under appropriate assumptions, are established. Furthermore, a density property is derived and a linear characterization of limiting proper minimal points is provided.

Additional Information

Author(s)

Shahbeyk, Shokouh , Soleimani-damaneh, Majid