Saddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programming
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Publication:836067
DOI10.1007/s00245-008-9060-yzbMath1169.49014OpenAlexW1970104012MaRDI QIDQ836067
Xiuhua Xu, Jin Chuan Zhou, Chang-Yu Wang
Publication date: 31 August 2009
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-008-9060-y
Semidefinite programming (90C22) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items (8)
A smoothing Levenberg-Marquardt method for generalized semi-infinite programming ⋮ Global saddle points of nonlinear augmented Lagrangian functions ⋮ Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle ⋮ Existence of local saddle points for a new augmented Lagrangian function ⋮ Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property ⋮ Existence of augmented Lagrange multipliers for cone constrained optimization problems ⋮ Generalized Levitin-Polyak Well-Posedness for Generalized Semi-Infinite Programs ⋮ On the existence of saddle points for nonlinear second-order cone programming problems
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