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Generalization of preinvex and B-vex functions

  • S. K. Suneja
  • C. Singh
  • C. R. Bector
Technical Note

Abstract

A class of functions called B-preinvex functions is introduced by relaxing the definitions of preinvex and B-vex functions. Examples are given to show that there exist functions which are B-preinvex but not preinvex or B-vex or quasipreinvex. Some of the properties of B-preinvex functions are obtained.

Key Words

B-vex functions preinvex functions convex functions global maxima 

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References

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • S. K. Suneja
    • 1
  • C. Singh
    • 2
  • C. R. Bector
    • 3
  1. 1.Department of MathematicsUniversity of DelhiDelhiIndia
  2. 2.Department of MathematicsSt. Lawrence UniversityCanton
  3. 3.Department of Actuarial and Management SciencesUniversity of ManitobaWinnipegCanada

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