Exact Penalty in Constrained Optimization and the Mordukhovich Basic Subdifferential

Alexander J. Zaslavski ()
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Alexander J. Zaslavski: The Technion-Israel Institute of Technology

A chapter in Variational Analysis and Generalized Differentiation in Optimization and Control, 2010, pp 223-232 from Springer

Abstract: Abstract In this chapter, we use the penalty approach to study two constrained minimization problems in infinite-dimensional Asplund spaces. A penalty function is said to have the exact penalty property if there is a penalty coefficient for which a solution of an unconstrained penalized problem is a solution of the corresponding constrained problem. We use the notion of the Mordukhovich basic subdifferential and show that the exact penalty property is stable under perturbations of objective functions.

Keywords: Penalty Function; SIAM Journal; Exact Penalty; Exact Penalty Function; Constrain Minimization Problem (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0437-9_12

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DOI: 10.1007/978-1-4419-0437-9_12

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