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Characterizations of semi-prequasi-invexity

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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

  1. School of International Trade and Economics, University of International Business and Economics, Beijing, 100029, China

    Yingxue Zhao

  2. School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China

    Xiaoge Meng

  3. School of Management, University of Chinese Academy of Sciences, Beijing, 100190, China

    Han Qiao

  4. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Shouyang Wang

  5. Department of Statistics and Operations Research, Faculty of Mathematics, Santiago de Compostela University, 15782, Santiago de Compostela, Spain

    Luis Coladas Uria

Authors
  1. Yingxue Zhao
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  2. Xiaoge Meng
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  3. Han Qiao
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  4. Shouyang Wang
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  5. Luis Coladas Uria
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Corresponding author

Correspondence to Yingxue Zhao.

Additional information

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 Complex 27, 1008–1026 (2014). https://doi.org/10.1007/s11424-014-1109-1

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  • DOI: https://doi.org/10.1007/s11424-014-1109-1

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