On the identification of active constraints
SIAM Journal on Numerical Analysis
Iterative linear programming solution of convex programs
Journal of Optimization Theory and Applications
Finite termination of the proximal point algorithm
Mathematical Programming: Series A and B
Weak sharp minima in mathematical programming
SIAM Journal on Control and Optimization
Solving cone-constrained convex programs by differential inclusions
Mathematical Programming: Series A and B
A Gauss-Newton method for convex composite optimization
Mathematical Programming: Series A and B
Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis
SIAM Journal on Control and Optimization
Optimality Conditions for Irregular Inequality-Constrained Problems
SIAM Journal on Control and Optimization
Weak Sharp Solutions of Variational Inequalities
SIAM Journal on Optimization
On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints
SIAM Journal on Optimization
Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
SIAM Journal on Optimization
Some Properties of the Augmented Lagrangian in Cone Constrained Optimization
Mathematics of Operations Research
Weak Sharp Minima in Multicriteria Linear Programming
SIAM Journal on Optimization
Weak sharp minima revisited, part II: application to linear regularity and error bounds
Mathematical Programming: Series A and B
Weak Sharp Minima for Semi-infinite Optimization Problems with Applications
SIAM Journal on Optimization
Weak sharp minima revisited, Part III: error bounds for differentiable convex inclusions
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
Strong KKT conditions and weak sharp solutions in convex-composite optimization
Mathematical Programming: Series A and B
Characterization of solution sets of convex programs
Operations Research Letters
A simple characterization of solution sets of convex programs
Operations Research Letters
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In this paper, we consider convex optimization problems with cone constraints (CPC in short). We study generalized weak sharp minima properties for (CPC) in the Banach space and Hilbert space settings, respectively. Some criteria and characterizations for the solution set to be a set of generalized weak sharp minima for (CPC) are derived. As an application, we propose an algorithm for (CPC) in the Hilbert space setting. Convergence analysis of this algorithm is given.