J4 ›› 2009, Vol. 47 ›› Issue (4): 742-744.

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Optimality Conditions for Multiobjective Programming withB-Vex Functions

WANG Cailing1, FENG Zixuan2, LI Zhongfan1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Computer Science and Technology, Jilin University, Changchun 130012, China
  • Received:2008-08-14 Online:2009-07-26 Published:2009-08-24
  • Contact: WANG Cailing E-mail:wangcljl@163.com.

Abstract:

The authors gave sufficient optimality conditions for multiobjective programming under generalized B-vexity and B-invexity as
sumptions, and proved that when the objective function is B-pseudoconvex, B-quasiconvex, B-invariant pseudoconvex, or B-invariant quasiconvex, the conclusion is still held.

Key words: multiobjective programming, B-vex functions, B-invex functions, optimality condition

CLC Number: 

  • O221.6