18 citations · 25 across the 5 of their papers we have counts for
5 papers
Applications of Variational Analysis to a Generalized Heron Problem
Boris Mordukhovich, Nguyen Mau Nam, Juan Salinas
This paper is a continuation of our ongoing efforts to solve a number of geometric problems and their extensions by using advanced tools of variational analysis and generalized dif…
Applications of Convex Analysis to the Smallest Intersecting Ball Problem
Nguyen Mau Nam, Nguyen Thai An, Juan Salinas
The smallest enclosing circle problem asks for the circle of smallest radius enclosing a given set of finite points on the plane. This problem was introduced in the 19th century by…
Solving a Generalized Heron Problem by means of Convex Analysis
Boris Mordukhovich, Nguyen Mau Nam, Juan Salinas
The classical Heron problem states: \emph{on a given straight line in the plane, find a point such that the sum of the distances from to the given points and is min…
Applications of variational analysis to a generalized Fermat-Torricelli problem
Boris Mordukhovich, Nguyen Mau Nam
In this paper we develop new applications of variational analysis and generalized differentiation to the following optimization problem and its specifications: given n closed subse…
Subgradients of Minimal Time Functions Under Minimal Requirements
Boris Mordukhovich, Nguyen Mau Nam
This paper concerns the study of a broad class of minimal time functions corresponding to control problems with constant convex dynamics and closed target sets in arbitrary Banach…