Variational analysis on local sharp minima via exact penalization

DOI10.1007/s11228-016-0360-0zbMath1357.49078OpenAlexW2274794724MaRDI QIDQ505627

Kaiwen Meng, Xiao Qi Yang

Publication date: 26 January 2017

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-016-0360-0

zbMATH Keywords

exact penalizationlocal sharp minimumregular subdifferentialsmallest penalty parametersubderivative

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Optimality conditions (49K99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite convergence of algorithms for nonlinear programs and variational inequalities
• Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
• Characterizations of strict local minima and necessary conditions for weak sharp minima
• Lagrange-type functions in constrained non-convex optimization.
• On local coincidence of a convex set and its tangent cone
• First- and second-order necessary conditions via exact penalty functions
• Optimality conditions in smooth nonlinear programming
• Piecewise Linear Multicriteria Programs: The Continuous Case and Its Discontinuous Generalization
• Optimality Conditions via Exact Penalty Functions
• Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
• Stability in Mathematical Programming with Nondifferentiable Data
• Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
• Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
• An Exact Penalization Viewpoint of Constrained Optimization
• Variational Analysis
• Characterizations of strict local minima for some nonlinear programming problems
• Lagrange Multipliers and Calmness Conditions of Order p
• Non-Linear Programming Via Penalty Functions
• Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
• A Necessary and Sufficient Qualification for Constrained Optimization
• New Conditions for Exactness of a Simple Penalty Function
• A Unified Augmented Lagrangian Approach to Duality and Exact Penalization
• Mathematical Programs with Equilibrium Constraints
• A characterization of strict local minimizers of order one for nonsmooth static minmax problems