43 citations · 149 across the 103 of their papers we have counts for
5 papers · 1 filter
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…
Generalized Newton's Method based on Graphical Derivatives
T. Hoheisel, C. Kanzow, B. S. Mordukhovich +1
This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify a n…
Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games
Boris Mordukhovich, Javier Peña, Vera Roshchina
We develop an approach of variational analysis and generalized differentiation to conditioning issues for two-person zero-sum matrix games. Our major results establish precise rela…