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含广义m-增生映象的非线性变分包含的灵敏性分析(英文) 被引量:4

Sensitivity Analysis for Nonlinear Variational Inclusions Involving Generalized m-Accretive Mappings
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摘要 研究并证明了Banach空间中一类含参广义变分包含问题的解的存在性 。 The authors study a new class of parametric nonlinear variational inclusions involving generalized m accretive mappings in Banach spaces and prove the existence theorems of solutions. At last, also analyze the sensitivity of solutions for this kind of nonlinear variational inclusions.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第2期240-243,共4页 Journal of Sichuan University(Natural Science Edition)
基金 TheNationalNaturalScienceFoundationofChina (10 1710 70 )
关键词 广义m—增生映射 非线性变分包含 预解算子 灵敏性分析 BANACH空间 含参广义变分包含 generalized m accretive mapping nonlinear variational inclusion resolvent operator sensitivity analysis
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参考文献1

  • 1M. A. Noor. Nonconvex functions and variational inequalities[J] 1995,Journal of Optimization Theory and Applications(3):615~630

同被引文献27

  • 1屈德宁.Banach空间中的一类非线性混合似变分不等式[J].四川师范大学学报(自然科学版),2005,28(1):19-23. 被引量:5
  • 2高兴慧,崔艳兰.广义非线性含参隐拟变分包含解的灵敏性分析[J].纯粹数学与应用数学,2006,22(4):492-497. 被引量:1
  • 3Chidume C E,Kazmi K R,Zeyege H.General auxiliary problem and algorithm for a generalized multi-valued variational-like inequality problem in reflexive Banach spaces[J].Appl Anal(S0003-6811),2003,82(12):1099-1109.
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  • 7Zhang Q B,Ding X P,Cheng C Z.Resolvent operator technique for generalized implicit variational-like inclusion in Banach space[J].J Math Anal Appl(S0022-247X),2010,361:283-292.
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