Generalized Levitin-Polyak Well-Posedness for Generalized Semi-Infinite Programs

DOI10.1080/01630563.2012.717333zbMath1291.90273OpenAlexW2011954036MaRDI QIDQ2841922

Cheng, T. C. Edwin, Gang Wang, Xiao Qi Yang

Publication date: 30 July 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.717333

zbMATH Keywords

Penalty methodsGeneralized Levitin-Polyak well-posednessGeneralized semi-infinite programs

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Semi-infinite programming (90C34)

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A linearly convergent algorithm for sparse signal reconstruction ⋮ Smoothing approximation to the lower order exact penalty function for inequality constrained optimization ⋮ Alternating proximal penalization algorithm for the modified multiple-sets split feasibility problems ⋮ An objective penalty function-based method for inequality constrained minimization problem ⋮ On Smoothingl₁Exact Penalty Function for Constrained Optimization Problems ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems ⋮ Distributionally robust \(L_1\)-estimation in multiple linear regression

Cites Work

• Well-posed optimization problems
• On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems
• Saddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programming
• Generalized semi-infinite programming: a tutorial
• Levitin-Polyak well-posedness of constrained vector optimization problems
• Stability of semi-infinite vector optimization problems under functional perturbations
• First-order optimality conditions in generalized semi-infinite programming
• Extended well-posedness of optimization problems
• On optimality conditions for generalized semi-infinite programming problems
• A conceptual method for solving generalized semi-infinite programming problems via global optimization by exact discontinuous penalization
• Generalized semi-infinite programming: numerical aspects
• First-Order Optimality Conditions for Degenerate Index Sets in Generalized Semi-Infinite Optimization
• Differential properties of the marginal function in mathematical programming
• Constrained convex optimization problems-well-posedness and stability^*
• Hadamard and Strong Well-Posedness for Convex Programs
• Generalized Levitin--Polyak Well-Posedness in Constrained Optimization
• Well-posedness and optimization under perturbations

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