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变分不等式问题的LP-适定性 被引量：1

LP-Well-posedness of Variational Inequalities Problems
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摘要 LP-适定性在研究各类最优化问题和变分不等式问题的算法以及算法的收敛性中有很重要的作用.本文给出了一类通常意义下的变分不等式问题(VIP)的LP-适定性. LP-well-posedness play a central role in the study of Optimization Problems and Variational Inequality Problems, particularly in their algorithms and algorithms convergence. This paper have the definitions of the LP-well- posedness for usual constrained Variational Inequality Problems（VIP）.
作者 彭涛
机构地区 西南大学荣昌校区
出处 《重庆职业技术学院学报》 2008年第6期117-118,共2页 Journal of Chongqing Vocational& Technical Institute
基金 西南大学荣昌校区硕士研究基金资助
关键词 LP-适定性 LP-极小化序列 LP-逼近解序列 LP-well-posedness LP- minimum sequence LP-approximating solution sequence
分类号 O178 [理学—基础数学]
  • 相关文献

参考文献1

  • 1X. X. Huang. Extended Well-Posedness Properties of Vector Optimization Problems[J] 2000,Journal of Optimization Theory and Applications(1):165～182

同被引文献10

  • 1Dontchev A L,Zolezzi.Well-posed optimization problems[M].Berlin:Heidelberg,1993.
  • 2Chen G Y,Huang X X,Yang X Q.Vector optimization:set-valued and variational analysis[M].Berlin:Heidelberg,2005.
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  • 4Lignola M B,Morgan J.Well-posedness for optimization problems with constraints defined by variational inequalities having a unique solution[J].Journal of Global Optimization,2000,16(1):57-67.
  • 5Morgan J.Constrained well-posed two-level optimization problems[M] //Clorke F H,Demyanov V F,Giannessi F.Non-smooth optimization and related topics.New York:Plenum Press,1989:307-325.
  • 6Fang Y P,Hu Rung,Huang N J.Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints[J].Computers and Mathematics with Applications,2008,55:89-100.
  • 7Kimura K,Liou Y C,Wu S Y,et al.Well-posedness for parametric vector equilibrium problems with applications[J].Journal of Industrial and Management Optimization,2008,2:313-327.
  • 8Li S J,Li M H.Levitin-polyak well-posedness of vector equilibrium problems[J].Mathematical Methods of Operations Research,2009,69:125-140.
  • 9Bianchi M,Kassay G,Pini R.Well-posedness of vector equilibrium problems[J].Mathematical Methods of Operations Research,2009,70:171-182.
  • 10Kimura K,Gong X H,Yao J C.Sensitivity analysis of strong vector equilibrium problems[J].Journal of Nonlinear and Convex Analysis,2008,9(1):83-94.

引证文献1

二级引证文献4

重庆职业技术学院学报
2008年 第6期

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