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The Existence and Stability of Generalized Multi-Source Weber Problems
V. S. T. Long, N. M. Nam, T. H. Tai +1
The paper investigates a generalized multi-source Weber problem with set-valued targets using minimal time functions, establishing existence of solutions, their qualitative propert…
On Strong Quasiconvexity of Functions in Infinite Dimensions
Nguyen Mau Nam, Jacob Sharkansky
In this paper, we explore the concept of -quasiconvexity for functions defined on normed vector spaces. This notion encompasses two important and well-established concepts: qua…
Qualitative Analysis and Adaptive Boosted DCA for Generalized Multi-Source Weber Problems
Vo Si Trong Long, Nguyen Mau Nam, Tuyen Tran +1
This paper has two primary objectives. First, we investigate fundamental qualitative properties of the generalized multi-source Weber problem formulated using the Minkowski gauge f…
Qualitative Properties of Center Problems
Vo Si Trong Long, Nguyen Mau Nam, Jacob Sharkansky +1
In this paper, we study generalized versions of the k-center problem, which involves finding k circles of the smallest possible equal radius that cover a finite set of points in th…