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A Class of -Semipreinvex Functions and Optimality

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  • Xue Wen Liu
  • Ke Quan Zhao
  • Zhe Chen

Abstract

A class of -semipreinvex functions, which are some generalizations of the semipreinvex functions, and the -convex functions, is introduced. Examples are given to show their relations among -semipreinvex functions, semipreinvex functions and -convex functions. Some characterizations of -semipreinvex functions are also obtained, and some optimality results are given for a class of -semipreinvex functions. Ours results improve and generalize some known results.

Suggested Citation

  • Xue Wen Liu & Ke Quan Zhao & Zhe Chen, 2012. "A Class of -Semipreinvex Functions and Optimality," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, December.
    • Handle: RePEc:hin:jnljam:168172
    DOI: 10.1155/2012/168172
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