Abstract
In this paper, we study the relationship between calmness and exact penalization for vector optimization problems under nonlinear perturbations. Some sufficient conditions for the problem calmness are also derived.
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Acknowledgements
This research was supported by the National Natural Science Foundation of China (Grant number: 1107126, 90924009, 71101160), by the Fundamental Research Funds for the Central Universities of China (Grant number: CDJXS12 02 00 26). The authors thank Professor F. Giannessi and the anonymous reviewers for their detailed and constructive comments, which help improve the presentation of the paper.
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Communicated by Johannes Jahn.
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Zhai, J., Huang, X.X. Calmness and Exact Penalization in Vector Optimization under Nonlinear Perturbations. J Optim Theory Appl 162, 856–872 (2014). https://doi.org/10.1007/s10957-013-0338-0
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DOI: https://doi.org/10.1007/s10957-013-0338-0