Constrained Extremum Problems and Image Space Analysis—Part II: Duality and Penalization

Shengjie Li (), Yangdong Xu (), Manxue You () and Shengkun Zhu ()
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Shengjie Li: Chongqing University
Yangdong Xu: Chongqing University of Posts and Telecommunications
Manxue You: Chongqing University
Shengkun Zhu: Southwestern University of Finance and Economics

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 3, No 4, 637-659

Abstract: Abstract In the light, as said in Part I, of showing the main feature of image space analysis—to unify and generalize the several topics of optimization—we continue, in Part II, considering duality and penalization. In the literature, they are distinct sectors of optimization and, as far as we know, they have nothing in common. Here it is shown that they can be derived by the same “root.”

Keywords: Image space analysis; Duality; Penalization; Saddle point; Lagrange multiplier; 49K05; 90C29 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-018-1248-y

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