Existence of exact penalty and its stability for nonconvex constrained optimization problems in Banach spaces

DOI10.1007/s11228-007-0047-7zbMath1162.49039OpenAlexW2058359012MaRDI QIDQ1005129

Zaslavski, Alexander J.

Publication date: 16 March 2009

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

Full work available at URL: https://doi.org/10.1007/s11228-007-0047-7

zbMATH Keywords

minimization problempenalty functionEkeland's variational principleClarke's genealized gradient

Mathematics Subject Classification ID

Related Items (3)

Evolution differential inclusion with projection for solving constrained nonsmooth convex optimization in Hilbert space ⋮ Existence and stability of exact penalty for optimization problems with mixed constraints ⋮ Exact penalty functions and calmness for mathematical programming under nonlinear perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• On the variational principle
• Lusternik-Schnirelman theory on Banach manifolds
• Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions
• Calmness and Exact Penalization
• Optimization and nonsmooth analysis
• Exact penalty functions in nonlinear programming
• An Exact Penalization Viewpoint of Constrained Optimization
• Exact Penalty Functions in Constrained Optimization
• Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993
• A Sufficient Condition for Exact Penalty in Constrained Optimization
• Non-Linear Programming Via Penalty Functions
• Critical points of Lipschitz functions on smooth manifolds

This page was built for publication: Existence of exact penalty and its stability for nonconvex constrained optimization problems in Banach spaces