Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (6): 1076-1094.

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Lagrange-Like Multiplier Rules for Weak Approximate Pareto Solutions of Multiobjective Constrained Vector Optimization Problems

Runxin Li1(),Hui Huang2,Zhenhong Shang1,Yu Cao1,Hongbin Wang1,*(),Jing Zhang1   

  1. 1 Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500
    2 Department of Mathematics, Yunnan University, Kunming 650091
  • Received:2016-12-30 Online:2018-12-26 Published:2018-12-27
  • Contact: Hongbin Wang E-mail:rxli@kmust.edu.cn;whbin2007@126.com
  • Supported by:
    Supported by the NSFC(11461080);Supported by the NSFC(61562051);Supported by the NSFC(61462052);Supported by the NSFC(61462054);the Yunnan Provincial Foundation for Personnel Cultivation(KKSY201603016)

Abstract:

In real Hilbert space case, Zheng and Li[21] established a Lagrange multiplier rule for weak approximate Pareto solutions of constrained vector optimization problems with only one constrained multifunction. In this paper, we improve and extend their main results to multiobjective constrained vector optimization problems' cases.

Key words: Vector optimization, Proximal normal cone, Coderivative, Weak ε-Pareto solution, Multiobjective constrained vector optimization problem

CLC Number: 

  • O29
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