Semi-B-Preinvex Functions

  • X. J. Long
  • J. W. Peng
Technical Note

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.

Keywords

Semi-B-preinvex functions B-vex functions semi-invex sets semipreinvex functions 

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • X. J. Long
    • 1
  • J. W. Peng
    • 1
  1. 1.Department of MathematicsChongqing Normal UniversityChongqingChina

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