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Journal of Systems Science and Complexity

, Volume 27, Issue 5, pp 1008–1026 | Cite as

Characterizations of semi-prequasi-invexity

  • Yingxue ZhaoEmail author
  • Xiaoge Meng
  • Han Qiao
  • Shouyang Wang
  • Luis Coladas Uria
Article

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.

Keywords

Convex programming dense semi-prequasi-invex function strictly semi-prequasi-invex function strongly semi-prequasi-invex function 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Yingxue Zhao
    • 1
    Email author
  • Xiaoge Meng
    • 2
  • Han Qiao
    • 3
  • Shouyang Wang
    • 4
  • Luis Coladas Uria
    • 5
  1. 1.School of International Trade and EconomicsUniversity of International Business and EconomicsBeijingChina
  2. 2.School of Economics and ManagementBeijing University of Aeronautics and AstronauticsBeijingChina
  3. 3.School of ManagementUniversity of Chinese Academy of SciencesBeijingChina
  4. 4.Institute of Systems Science, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  5. 5.Department of Statistics and Operations Research, Faculty of MathematicsSantiago de Compostela UniversitySantiago de CompostelaSpain

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