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Abstract
Because of its importance in optimization theory, the concept of convexity has been generalized in various ways. With these generalizations, to seek some practical criteria for them is especially important. In this paper, some criteria are developed for semi-prequasi-invexity, which includes prequasi-invexity as the special case. Mutual characterizations among semi-prequasi-invex functions, strictly semi-prequasi-invex functions, and strongly semi-prequasi-invex functions are presented.
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Authors and Affiliations
School of International Trade and Economics, University of International Business and Economics, Beijing, 100029, China
Yingxue Zhao
School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China
Xiaoge Meng
School of Management, University of Chinese Academy of Sciences, Beijing, 100190, China
Han Qiao
Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Shouyang Wang
Department of Statistics and Operations Research, Faculty of Mathematics, Santiago de Compostela University, 15782, Santiago de Compostela, Spain
Luis Coladas Uria
- Yingxue Zhao
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- Xiaoge Meng
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- Han Qiao
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- Shouyang Wang
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- Luis Coladas Uria
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Correspondence toYingxue Zhao.
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This research was supported partially by the National Natural Science Foundation of China under Grant Nos. 71101088, 71003057, 71171129, the National Social Science Foundation of China under Grant No. 11&ZD169, the Shanghai Municipal Natural Science Foundation under Grant Nos. 10ZR1413200, 10190502500, 11510501900, 12ZR1412800, the China Postdoctoral Science Foundation under Grant Nos. 2011M500077, 2012T50442, the Science Foundation of Ministry of Education of China under Grant No. 10YJC630087, and the Doctoral Fund of Ministry of Education of China under Grant No. 20113121120002.
This paper was recommended for publication by Editor DAI Yuhong.
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Zhao, Y., Meng, X., Qiao, H.et al. Characterizations of semi-prequasi-invexity.J Syst Sci Complex27, 1008–1026 (2014). https://doi.org/10.1007/s11424-014-1109-1
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