期刊文献+

罚函数法在向量似变分不等式中的应用

Application of penalty function method in vector variational-like inequalities
原文传递
导出
摘要 应用距离函数作为罚函数,建立了向量似变分不等式与向量罚优化问题之间的关系,得到了非光滑向量似变分不等式解的必要和充分条件.讨论了一些具体情况下的相应结果. 应用距离函数作为罚函数,建立了向量似变分不等式与向量罚优化问题之间的关系,得到了非光滑向量似变分不等式解的必要和充分条件.讨论了一些具体情况下的相应结果.
出处 《系统工程理论与实践》 EI CSSCI CSCD 北大核心 2011年第S1期120-123,共4页 Systems Engineering-Theory & Practice
基金 国家自然科学基金(10831009) 重庆市自然科学基金(CSTC 2011BA0030) 重庆市教育委员会科学技术研究项目(KJ110624)
关键词 罚函数 向量似变分不等式 向量优化 penalty function vector variational-like inequality optimality conditions
  • 相关文献

参考文献16

  • 1李声杰,陈光亚.多类物流,双指标的交通网络平衡问题与向量变分不等式[J].系统工程理论与实践,2008,28(1):141-145. 被引量:2
  • 2T. Jabarootian,J. Zafarani.Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions[J]. Journal of Global Optimization . 2006 (4)
  • 3X. M. Yang,X. Q. Yang,K. L. Teo.Some Remarks on the Minty Vector Variational Inequality[J]. Journal of Optimization Theory and Applications . 2004 (1)
  • 4X. Q. Yang.Vector Variational Inequality and Vector Pseudolinear Optimization[J]. Journal of Optimization Theory and Applications . 1997 (3)
  • 5G. -Y. Chen,B. D. Craven.A vector variational inequality and optimization over an efficient set[J]. ZOR Zeitschrift für Operations Research Methods and Models of Operations Research . 1990 (1)
  • 6Antczak T.Exact penalty functions method for mathematical programming problems involving invex functions. European Journal of Operational Research . 2009
  • 7Soleimani-damaneh M.Penalization for variational inequalities. Journal of Applied Mathematics . 2009
  • 8Suneja S K,Khurana S,Vani.Generalized nonsmooth invexity over cones in vector optimization. European Journal of Operational Research . 2008
  • 9G. Huang,L.Yang,Z. He.Multiple acoustic sources location based on blind source separation. ICNC 2005 . 2005
  • 10G.Y. Chen,G.M.Cheng.Vector variational inequality and vector optinuition. lecture note in economal and mathematical systems . 1987

二级参考文献12

  • 1Wardrop J G. Some theoretical aspects of road traffic research[J]. Proceesings of the Institute of Civil Engineers, 1952, Part Ⅱ: 325 - 378.
  • 2Quandt R E. A probabilistic abstract mode model [ M ] .Studies in Travel Demand Ⅷ, Mathematica Inc., Princeton, N J, 1967, 127- 149.
  • 3Schneider M. Access and land development[J]. Urban Development Models, Highway Research Board Special Report, 1968, 97: 164- 177.
  • 4Dial R B. A model and algorithms for multicriteriaroute-mode choice[ J]. Transportation Research, 1979, 13B: 311 - 316.
  • 5Dafermos S. A Multicriteria Route-mode Choicetraffic Equilibrium Model [ M]. Lefschetz Center for Dynamical Systems, Brown University, Providence, RI, 1981.
  • 6Giannessi F. Theorems of the alternative, quadratic programs, and complementarity problems, in Variational Inequalities and Complementarity Problems, edited by R.W. Cottle,F. Giannessi, and J.L. Lions, Wiley, New York, 1980,151 - 186.
  • 7Chen and Yang X Q. The vector complementary problem and its equivalence with vector minimal element in oedered spaces [ J ]. Journal of Mathematical Analysis and Applications, 1990, 1531 136 - 158.
  • 8Chen G Y,Yen N D. On the variational inequality model for network equilibrium, Internal Report 3. 196 (724), Department of Mathematics, University of Pisa, 1993.
  • 9Yang X Q, Goh C J. On vector variational inequalities: Application to vector equilibria[J]. Journal of Optimization Theory and Applications, 1997, 95 : 431 - 443.
  • 10Chen G Y, Goh C J, Yang X Q. Vector network equilibrium problems and nonlinear scalarization methods [ J]. Mathematical Methods of Operations Research, 1999, 49 : 239 - 253.

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部