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Continuity for vector optimization problems with equilibrium constraints

Continuity for vector optimization problems with equilibrium constraints
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摘要 The concept of vector optimization problems with equilibrium constraints (VOPEC) is introduced. By using the continuity results of the approximate solution set to the equilibrium problem, we obtain the same results of the marginal map and the approximate value in VOPEC (ε) for vector-valued mapping. The concept of vector optimization problems with equilibrium constraints (VOPEC) is introduced. By using the continuity results of the approximate solution set to the equilibrium problem, we obtain the same results of the marginal map and the approximate value inVOPEC (?) for vector-valued mapping.
作者 WU Yunan
出处 《Science China Mathematics》 SCIE 2004年第1期65-71,共7页 中国科学:数学(英文版)
关键词 VECTOR optimization problems with EQUILIBRIUM constraints LOWER semicontinuity UPPER semicontinuity. vector optimization problems with equilibrium constraints lower semicontinuity upper semicontinuity
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参考文献3

  • 1Zhi-Quan Luo,Jong-Shi Pang,Daniel Ralph,Shi-Quan Wu.Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints[J].Mathematical Programming.1996(1)
  • 2A. Yezza.First-order necessary optimality conditions for general bilevel programming problems[J].Journal of Optimization Theory and Applications.1996(1)
  • 3Ji?í Outrata,Jochem Zowe.A numerical approach to optimization problems with variational inequality constraints[J].Mathematical Programming (-).1995(1-3)

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