43 citations · 149 across the 103 of their papers we have counts for
9 papers · 1 filter
The Smallest Enclosing Ball Problem and the Smallest Intersecting Ball Problem: Existence and Uniqueness of Solutions
Boris S. Mordukhovich, Nguyen Mau Nam, Cristina Villalobos
In this paper we study the following problems: given a finite number of nonempty closed subsets of a normed space, find a ball with the smallest radius that encloses all of the set…
Second-order subdifferential calculus with applications to tilt stability in optimization
B. S. Mordukhovich, R. T. Rockafellar
The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in f…
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…
Constraint Qualifications and Optimality Conditions for Nonconvex Semi-Infinite and Infinite Programs
B. S. Mordukhovich, T. T. A. Nghia
The paper concerns the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite-dimensiona…
Rated Extremal Principles for Finite and Infinite Systems
Boris S. Mordukhovich, Hung M. Phan
In this paper we introduce new notions of local extremality for finite and infinite systems of closed sets and establish the corresponding extremal principles for them called here…
Quantitative Stability of Linear Infinite Inequality Systems under Block Perturbations with Applications to Convex Systems
M. J. Cánovas, M. A. LóPez, B. S. Mordukhovich +1
The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over…