Generalized Augmented Lagrangian Problem and Approximate Optimal Solutions in Nonlinear ProgrammingReport as inadecuate




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Journal of Inequalities and Applications

, 2007:019323

First Online: 31 October 2007Received: 19 March 2007Accepted: 29 August 2007

Abstract

We introduce some approximate optimal solutions and a generalized augmented Lagrangian in nonlinear programming, establish dual function and dual problem based on the generalized augmented Lagrangian, obtain approximate KKT necessary optimality condition of the generalized augmented Lagrangian dual problem, prove that the approximate stationary points of generalized augmented Lagrangian problem converge to that of the original problem. Our results improve and generalize some known results.

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Author: Zhe Chen - Kequan Zhao - Yuke Chen

Source: https://link.springer.com/







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