Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/9122
Title: Existence of augmented Lagrange multipliers for cone constrained optimization problems
Authors: Zhou, YY
Zhou, JC
Yang, XQ 
Keywords: Augmented Lagrange multiplier
Cone constraints
Duality
Growth condition
Issue Date: 2013
Publisher: Springer
Source: Journal of global optimization, 2013, p. 1-18 How to cite?
Journal: Journal of Global Optimization 
Abstract: In this paper, by using an augmented Lagrangian approach, we obtain several sufficient conditions for the existence of augmented Lagrange multipliers of a cone constrained optimization problem in Banach spaces, where the corresponding augmenting function is assumed to have a valley at zero. Furthermore, we deal with the relationship of saddle points, augmented Lagrange multipliers, and zero duality gap property between the cone constrained optimization problem and its augmented Lagrangian dual problem.
URI: http://hdl.handle.net/10397/9122
ISSN: 0925-5001
DOI: 10.1007/s10898-013-0046-1
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