期刊文献+

关于广义非线性集值混合拟变分不等式解的存在性

The existence of solutions of generalized nonlinear mixed quasi-variational inequalities
下载PDF
导出
摘要 研究了一类广义非线性集值混合拟变分不等式,并利用一个迭代算法证明了这类广义非线性集值混合拟变分不等式解的存在性,并讨论了由算法生成的迭代序列的收敛性. We study a class of quasi-variational inequalities are called generahzed nonlinear mixed quasi-variational inequalities. We apply an iterative algorithm to prove the existence of solutions of them. Moreover, we discuss the convergence of iterative sequences generated by this algorithm.
作者 胡慧英
出处 《上海师范大学学报(自然科学版)》 2006年第3期12-16,共5页 Journal of Shanghai Normal University(Natural Sciences)
关键词 一般广义非线性集值混合拟变分不等式 极大单调映像 迭代算法 generalized nonlinear mixed quasi-variational inequality maximal monotone mapping iterative algorithm
  • 相关文献

参考文献2

二级参考文献29

  • 1F E Browder. Nonlinear mappings of nonexpansive and accretive type in Banach spaces [J]. Bull.Amer. Math. Soc., 1967,73:875-882.?A
  • 2T Karo. Nonlinear semigroups and evolution equations [J]. J Math. Soc. Japan. , 1967,18/19:508-520.?A
  • 3C E Chidume. An iterative process for nonlinear Lipschitzian strongly accretive mappings in Lp spaces[J]. J Math. Anal. Appl., 1990,151:453-461.?A
  • 4C E Chidume. Global iteration schemes for strongly pseudo-contractive maps [J]. Proc. Amer.Math. Soc., 1998,126:2641-2649.?A
  • 5L C Zeng. Iterative approximation of solutions to nonlinear equations of strongly accretive operators in Banach spaces [J]. Nonlinear Anal. TMA, 1998,31(5-6):589-598.?A
  • 6L C Zeng. Error bounds for approximation solutions to nonlinear equations of strongly accretive operators in uniformly smooth Banach spaces [J]. J. Math. Anal. Appl. , 1997,209:67-80.?A
  • 7C Morales. Pseudocontractive mappings and Leray-Schauder boundary condition [J]. Comment.Math. Univ. Carolin., 1979,20(4):745-746.?A
  • 8Liu, L S Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces [J]. J Math. Anal. Appl. , 1995,194:114-125.?A
  • 9Tan, K K and Xu, H K Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces [J]. J Math. Anal. Appl. , 1993,178:9-21.?A
  • 10K P R Sastry and G V R Babu. Approximation of fixed points of strictly pseudocontractive mappings on arbitrary closed, convex sets in a Banach space [J]. Proc. Amer. Math. Soc. , 2000,128:2907-2909.?A

共引文献12

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