Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12555
Title: Calmness and exact penalization in vector optimization with cone constraints
Authors: Huang, XX
Teo, KL
Yang, XQ 
Keywords: Calmness
Efficient solution
Exact penalization
Normal Lagrange multiplier
Vector optimization with cone constraints
Weakly efficient solution
Issue Date: 2006
Publisher: Springer
Source: Computational optimization and applications, 2006, v. 35, no. 1, p. 47-67 How to cite?
Journal: Computational optimization and applications 
Abstract: In this paper, a (local) calmness condition of order α is introduced for a general vector optimization problem with cone constraints in infinite dimensional spaces. It is shown that the (local) calmness is equivalent to the (local) exact penalization of a vector-valued penalty function for the constrained vector optimization problem. Several necessary and sufficient conditions for the local calmness of order α are established. Finally, it is shown that the local calmness of order 1 implies the existence of normal Lagrange multipliers.
URI: http://hdl.handle.net/10397/12555
ISSN: 0926-6003
EISSN: 1573-2894
DOI: 10.1007/s10589-006-6441-5
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