Journal of Advances in Applied Mathematics

Download PDF (640.4 KB) PP. 55 - 62 Pub. Date: January 1, 2017

DOI: 10.22606/jaam.2017.21005

• Keke Li
  School of Mathematical Sciences, Chongqing Normal University, Chongqing, P.R. China
• Zaiyun Peng^*
  College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, P.R. China
• Yawei Liu
  College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, P.R. China
• Jing Zeng
  College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, P.R. China

The purpose of this paper is to study semi-prequasi-invex type multiobjective optimization problem with inequality constraints and generalized nonlinear fractional programming. Two alternative theorems and an optimality necessary condition for multiobjective optimization problem are obtained. Moreover, a strong duality theorem and a saddle point theorem for generalized nonlinear fractional programming are derived. Our results improve and generalize the corresponding ones in the literature.

Semi-prequasi-invex functions, multiobjective optimization problem, generalized nonlinear fractional programming.

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