2 citations · 2 across the 3 of their papers we have counts for
4 papers
New sharp necessary optimality conditions for mathematical programs with equilibrium constraints
Helmut Gfrerer, Jane J. Ye
In this paper, we study the mathematical program with equilibrium constraints (MPEC) formulated as a mathematical program with a parametric generalized equation involving the regul…
On a semismooth* Newton method for solving generalized equations
H. Gfrerer, J. V. Outrata
In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multi-valued part of…
Calculus for directional limiting normal cones and subdifferentials
Matúš Benko, Helmut Gfrerer, Jiří V. Outrata
The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus en…
Second-Order Variational Analysis of Parametric Constraint and Variational Systems
Helmut Gfrerer, Boris S. Mordukhovich
This paper is devoted to the generalized differential study of the normal cone mappings associated with a large class of parametric constraint systems (PCS) that appear, in particu…