登录 | 注册 | 充值 | 退出 | 公司首页 | 繁体中文 | 满意度调查
综合馆
关于集值映射的随机不动点的稳定性
  • 摘要

    本文研究随机集值映射不动点的稳定性。通过集值分析,得到了随机集值不动点的本质稳定集的存在性。在Baire分类意义下,大多数的随机集值映射的随机不动点都是本质稳定的。这些推广了现有文献中的相应结果。

  • 作者

    宋奇庆  SONG Qi-qing 

  • 作者单位

    桂林理工大学理学院,广西桂林,541004

  • 刊期

    2015年1期 ISTIC PKU

  • 关键词

    随机不动点  稳定性  本质  random fixed point  stability  essential 

参考文献
  • [1] Song Qiqing;Tang Guoqiang;Wang Laisheng. On essential stable sets of solutions in set optimization problems. J Optim Theory Appl, 2013
  • [2] Khanh P Q;Quan N H. Generic stability and essential components of generalized KKM points and applications. J Optim Theory Appl, 2011
  • [3] Govindan S;Wilson R. Essential equilibria. P Natl Acad Sci USA, 2005
  • [4] Xiang Shuwen;Zhou Yonghui. On essential sets and essential components of e?cient solutions for vector optimization problems. J Math Anal Appl, 2006
  • [5] Yang Hui;Yu Jian. On essential components of the set of weakly Pareto-Nash equilibrium points. Appl Math Lett, 2002
  • [6] Yu Jian. Essential weak e?cient solution in multiob jective optimization problems. J Math Anal Appl, 1992
  • [7] Carbonell-Nicolau O. Essential equilibria in normal-form games. J Econ Theory, 2010
  • [8] Beg I. Essential random fixed point set of random operators. Aust J Math Anal Appl, 2005
  • [9] Benavides T D;Acedo G L;Xu Hongkun. Random fixed points of set-valued operators. Proc Amer Math Soc, 1996
  • [10] Fort M K. Points of continuity of semicontinuous function. Publ Math Debrecen, 1951
  • [11] Itoh S. A random fixed point theorem for a multivalued contraction mapping. Pac J Math, 1977
  • [12] Xiang Shuwen;Jia Wensheng;He Jihao;Xia Shunyou Chen Zhiyou. Some results concerning the generic continuity of set-valued mappings. Nonlinear Anal, 2012
  • [13] Kumam W;Kumam P. Random fixed point theorems for multivalued subsequentially limit-contractive maps satisfying inwardness conditions. J Comput Anal Appl, 2012
  • [14] Bednarczuk E. A note on lower semicontinuity of minimal points. Nonlinear Anal, 2002
  • [15] Lin Tzu Chu. Random approximations and random fixed point theorems for non-self-maps. Proc Amer Math Soc, 1988
  • [16] Tan Kok Keong;Yuan Xianzhi. Random equilibria of random generalized games with applications to non-compact random quasi-variational inequalities. Topol Method Nonl An, 1995
  • [17] Fort M K. Essential and nonessential fixed points. Amer J Math, 1950
  • [18] Shahzad N. Random fixed points of pseudo-contractive random operators. J Math Anal Appl, 2004
  • [19] Yu Jian;Yuan Xianzhi. A random section theorem and its applications. Math Comput Model, 1995
  • [20] O’regan D. Random fixed point theory with applications. Nonlinear Anal, 1997
查看更多︾
相似文献 查看更多>>
54.226.73.255