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

S. K. Zhu () and S. J. Li ()
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S. K. Zhu: Chongqing University
S. J. Li: Chongqing University

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 3, No 5, 763-782

Abstract: 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.

Keywords: Image space analysis; Constrained extremum problem; Separation function; Lagrange-type duality; Wolfe and Mond–Weir dualities (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10957-013-0467-5

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