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Semi-B-Preinvex Functions

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Abstract

In this note, a class of functions, called semi-B-preinvex function, which are a generalization of the semipreinvex functions and the B-vex functions, is introduced. Examples are given to show that there exist functions which are semi-B-preinvex functions, but are neither semipreinvex nor B-vex. A property of the semi-B-preinvex functions is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Chongqing Normal University, Chongqing, China

    X. J. Long (Graduate Student) & J. W. Peng (Professor)

Authors
  1. X. J. Long
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  2. J. W. Peng
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Additional information

Communicated by F. Giannessi

This research was partially supported by a Science Committee Project, Research Foundation of Chongqing, Grant 8409. The authors are thankful to the referees and Prof. F. Giannessi for suggestions and comments which helped to give the present form to this paper.

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Long, X.J., Peng, J.W. Semi-B-Preinvex Functions. J Optim Theory Appl 131, 301–305 (2006). https://doi.org/10.1007/s10957-006-9146-0

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  • DOI: https://doi.org/10.1007/s10957-006-9146-0

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