[图书][B] Mathematical programs with equilibrium constraints
This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …
constrained optimization problems known as Mathematical Programs with Equilibrium …
Error bounds in mathematical programming
JS Pang - Mathematical Programming, 1997 - Springer
Originated from the practical implementation and numerical considerations of iterative
methods for solving mathematical programs, the study of error bounds has grown and …
methods for solving mathematical programs, the study of error bounds has grown and …
Characterizations of Lipschitzian stability in nonlinear programming
AL Dontchev, RT Rockafellar - Mathematical programming with …, 2020 - taylorfrancis.com
Mathematical Programming With Data Perturbations Page 1 Characterizations of Lipschitzian
Stability in Nonlinear Programming AL DONTCHEV Mathematical Reviews, Ann Arbor, MI …
Stability in Nonlinear Programming AL DONTCHEV Mathematical Reviews, Ann Arbor, MI …
On the Aubin property of critical points to perturbed second-order cone programs
JV Outrata, H Ramírez C - SIAM Journal on Optimization, 2011 - SIAM
We characterize the Aubin property of a canonically perturbed KKT system related to the
second-order cone programming problem in terms of a strong second-order optimality …
second-order cone programming problem in terms of a strong second-order optimality …
Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization
In this paper, the Pareto solution set of a piecewise linear multiobjective optimization
problem in a normed space is shown to be the union of finitely many semiclosed polyhedra …
problem in a normed space is shown to be the union of finitely many semiclosed polyhedra …
On the Lipschitzian properties of polyhedral multifunctions
M Seetharama Gowda, R Sznajder - Mathematical programming, 1996 - Springer
In this paper, we show that for a polyhedral multifunction F: R n→ R m with convex range,
the inverse function F− 1 is locally lower Lipschitzian at every point of the range of F …
the inverse function F− 1 is locally lower Lipschitzian at every point of the range of F …
On metric regularity for weakly almost piecewise smooth functions and some applications in nonlinear semidefinite programming
P Fusek - SIAM Journal on Optimization, 2013 - SIAM
The one-to-one relation between the points fulfilling the KKT conditions of an optimization
problem and the zeros of the corresponding Kojima function is well-known. In the present …
problem and the zeros of the corresponding Kojima function is well-known. In the present …
[引用][C] Finite-dimensional variational inequalities and complementarity problems
F Facchinei - 2003 - Springer
Semiderivative functions and reformulation methods for solving complementarity and variational inequality problems
Two major reformulation methods, the nonsmooth method and the smoothing method, for
solving nonlinear complementarity problems and variational inequality problems, have been …
solving nonlinear complementarity problems and variational inequality problems, have been …
On the Lipschitz continuity of the solution map in some generalized linear complementarity problems
R Sznajder, S Gowda - Game Theoretical Applications to Economics and …, 1996 - Springer
This paper investigates the Lipschitz continuity of the solution map in the settings of
horizontal, vertical, and mixed linear complementarity problems. In each of these cases, we …
horizontal, vertical, and mixed linear complementarity problems. In each of these cases, we …