期刊文献+

广义凸的研究进展

A SURVEY OF RECENT DEVELOPMENTS FOR GENERALIZED CONVEXITY
原文传递
导出
摘要 广义凸是最优化理论的研究热点,最新广义凸的提出决定了最优化理论的研究方向。本文,针对光滑函数,总结了近30 a来广义凸的研究进展,包括新的概念和最优性条件。 Generalized convexity is aresearch focus of optimality theory,and the latest research result in generalized convexity determines the research direction of optimality theory.In this paper,we summarize recent thirty years developments in generalized convexity.These include the new concepts and optimality conditions.
作者 刘海军 张余 李月鲜 LIU Haijun;ZHANG Yu;LI Yuexian(College of Science,Inner Mongolia Agricultural University,Hohhot 010018 China;College of Science,Inner Mongolia University of Technology,Hohhot 010051 China)
出处 《内蒙古农业大学学报(自然科学版)》 CAS 北大核心 2020年第2期88-96,共9页 Journal of Inner Mongolia Agricultural University(Natural Science Edition)
基金 内蒙古农业大学基础研究项目《广义凸性及多目标规划的最优性条件》(JC2012001).
关键词 最优化问题 广义凸 最优性条件 Optimal problems generalized convexity optimality conditions
  • 相关文献

参考文献1

二级参考文献13

  • 1Chen Xiu Hong. Duality for Multiobjective Variational Problems with Invexity [J]. Math. Anal. Appl. , 1996,203: 236-253.
  • 2Mukherjee R N,Mithra S K. Generalized Invexity and Duality in Multiple Objective Variational Problems [J].Math. Anal. Appl. , 1995,195:307-322.
  • 3Nahak C,Nanda S. Duality for Muhiobjective Variational Control Problems with (F-p)-Convexity [J]. Math.Anal. Appl. ,1997,209:415-434.
  • 4Mishra S K,Mukherjee R N. Generalized Continuous Nondifferentiable Fractional Programming Problems with Invexity [J]. Math. Anal. Appl, 1995,195: 191-213.
  • 5Bector C R. Duality for Multiobjective Variational Problems [J]. Math. Anal. Appl. , 1992,166:214-229.
  • 6Mond B,Chandra S,Husain I. Duality for Variational Problems with Invexity [J]. Math. Anal. Apply., 1988,134: 322-328.
  • 7Hanson M A. On Sufficiency of the Kuhn-Tucker Conditions [J]. Math. Anal. Apply. , 1981,80 : 544-550.
  • 8Mond B,Hanson M A. Duality for Control Problems [J]. SLAM. J. Control,1968,6:114-120.
  • 9Mishra S K. Generalized Proper Duality for a Class of Nondifferentiable Multiobjective Variational Problemswith V-Invexity [J]. Math. Anal. Appl. , 1996,202:53-71.
  • 10Chankong ,Haimes. Multiobjective Decision Making :Theory and Methodology [M]. New York : North-Holland,1983.

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