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Generalized B-vex functions and generalized B-vex programming

  • C. R. Bector
  • S. K. Suneja
  • C. S. Lalitha
Contributed Papers

Abstract

A class of functions called pseudo B-vex and quasi B-vex functions is introduced by relaxing the definitions of B-vex, pseudoconvex, and quasiconvex functions. Similarly, the class of B-invex, pseudo B-invex, and quasi B-invex functions is defined as a generalization of B-vex, pseudo B-vex, and quasi B-vex functions. The sufficient optimality conditions and duality results are obtained for a nonlinear programming problem involving B-vex and B-invex functions.

Key Words

Convex functions B-vex functions invex functions pre-invex functions pseudoconvex functions quasiconvex functions 

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • C. R. Bector
    • 1
  • S. K. Suneja
    • 2
  • C. S. Lalitha
    • 2
  1. 1.Faculty of ManagementUniversity of ManitobaWinnipegCanada
  2. 2.Department of MathematicsDelhi UniversityDelhiIndia

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