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Optimality Conditions of Nonsmooth Composite Generalized Invex Multiobjective Programming

WANG Cailing1, SUN Wenjuan2, YANG Rong1, WANG Xiaoling3   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Science, Shenyang Ligong University, Shenyang 110168, China;3. Tongliao Professional College, Tongliao 028000, Inner Mongolia Autonomous Region, China
  • Received:2007-11-16 Revised:1900-01-01 Online:2008-09-26 Published:2008-09-26
  • Contact: WANG Cailing

Abstract: The composite Q-ρinvex vector function and composite S-δinvex vector function are introduced, which are applied to nonsmooth composite multiobjective programming, the optimality conditions of nonsmooth composite Q-ρinvex and S-δinvex multiobjective programmings are obtained and proved.

Key words: nonsmooth multiobjective programming, optimality conditions, invex function

CLC Number: 

  • O221.6