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.”
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Acknowledgements
The authors would like to thank Professor Franco Giannessi for valuable comments and suggestions, which helped to improve the survey paper. This research was partially supported by the Natural Science Foundations of China and China Scholarship Council (Grants: 11571055, 11526165 and 11601437). The forth author is grateful for the kind hospitality of the institution when part of this work was carried out during a stay in the Department of Mathematics, University of Pisa.
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Li, S., Xu, Y., You, M. et al. Constrained Extremum Problems and Image Space Analysis—Part II: Duality and Penalization. J Optim Theory Appl 177, 637–659 (2018). https://doi.org/10.1007/s10957-018-1248-y
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DOI: https://doi.org/10.1007/s10957-018-1248-y