Augmented Lagrangian function, non-quadratic growth condition and exact penalization |
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| Authors: | Y.Y. Zhou X.Q. Yang |
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| Affiliation: | a Department of Mathematics, Suzhou University, Hong Kong
b Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong |
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| Abstract: | In this paper, under the assumption that the perturbation function satisfies a growth condition, necessary and sufficient conditions for an exact penalty representation and a zero duality gap property between the primal problem and its augmented Lagrangian dual problem are established. |
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| Keywords: | Growth condition Augmented Lagrangian function Exact penalty representation Zero duality gap |
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