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随机模糊映射的广义非线性随机变分包含 被引量：3

Random generalized nonlinear variational inclusions for random fuzzy mappings
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摘要 引入并研究了一类带随机模糊映射的广义非线性随机变分包含,构造了一个新的随机迭代算法,在一定条件下,讨论了这类问题随机解的存在性以及由随机算法所产生的序列的收敛性.所得结果推广和发展了近期一些作者的主要工作. The authors introduce and study a new class of random nonlinear generalized variational inclusions with random fuzzy mappings and construct a new random iterative algorithm for solving this class of random fuzzy variational inclusions. Also the existence of random solutions for this class of random fuzzy variational inclusions and the convergence of random iterative sequences generated by the algorithm are discussed.
作者 张超 毕中胜
机构地区 淮南师范学院数学系 四川大学数学学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2007年第3期499-502,共4页 Journal of Sichuan University(Natural Science Edition)
基金 安徽省高等学校青年教师科研资助计划项目(2004jq183)
关键词 随机变分包含 随机模糊映射 随机迭代算法 收敛性 存在性 random variational inclusions, random fuzzy mapping, random iterative algorithm, convergence,existence
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献4

  • 1Huang N J.Random completely generalized strongly nonlinear quasi-complementarity problems for random fuzzy mappings[J].J Fuzzy Math,1997,5:605.
  • 2Huang N J.Random generalized nonlinear variational inclusi8ons for random fuzzy mappings[J].Fuzzy Sets and Systems,1999,105:437.
  • 3Huang N J,Cho Y J.Random completely generalized set-valued implicit quasi-variational inequalities[J].Positivity,1999,3:201.
  • 4Minty G.Monotone nonlinear operators in Hilbert spaces[J].Duke Mart J,1962,29:341.

同被引文献27

  • 1张超,李远华.随机广义集值隐拟补问题[J].大学数学,2006,22(6):82-87. 被引量：3
  • 2Hassouni A, Moudafi. A. A perturbed algorithms for variational inclusions [J]. Joudnal of Mathematical Analysis Applications, 1994, 185(3) :706-721.
  • 3Mohapatra R N, Verma R U. Sensitivity analysis for cocoercively monotone variational inclusions and (A, η)maximal monotonieity [J]. Journal of Applied Mathematies and Computing, 2008, 26(1/2): 281-293.
  • 4Noor M A, Noor K I Noor, Yaqoob H. On general mixed variational inequalities [J]. Acta. Applieandde Mathematicae, 2010, 110(1):227-246.
  • 5Noor M A, Noor KI. Resolvent methods for solving system of general variational inclusions [J]. Journal of Optimization. Theory and Applieations, 2011, 148 (2) :422-430.
  • 6Chang S S. Coincidence theorems and variational inequalities for fuzzy mappings[ J]. Fuzzy Set Syst, 1994,61 (3) :359 -368.
  • 7Cho Y J, Huang N J, Kang M S. Random generalized set -valued strongly nonlinear implicit quasi -variational inequalities[ J]. J Inequal Math,2000,5(3) :515 -531.
  • 8Dai H X. Generalized mixed variational -like inequality for random fuzzy mappings[ J]. J Comput Appl Math ,2009,224( 1 ) :20 -28.
  • 9Huang N J, Long X , Cho Y J. Random completely generalized nonlinear variational inclusion with non - compact valued random mappings[J]. Bull Korean Math Soc,1997,34(4):603 -615.
  • 10Huang N J. Random generalized nonlinear variational inclusions for random fuzzy mappings [ J ]. Fuzzy Set Syst, 1999,105 (3) : 437 - 444.

引证文献3

二级引证文献2

四川大学学报（自然科学版）
2007年 第3期

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