Unified Duality Theory for Constrained Extremum Problems. Part II: Special Duality Schemes

Unified Duality Theory for Constrained Extremum Problems. Part II: Special Duality Schemes

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Article ID: iaor2014772
Volume: 161
Issue: 3
Start Page Number: 763
End Page Number: 782
Publication Date: Jun 2014
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: duality
Abstract:

In the first part of this paper series, a unified duality scheme for a constrained extremum problem is proposed by virtue of the image space analysis. In the present paper, we pay our attention to study of some special duality schemes. Particularly, the Lagrange‐type duality, Wolfe duality and Mond–Weir duality are discussed as special duality schemes in a unified interpretation. Moreover, three practical classes of regular weak separation functions are also considered.

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