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Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces

Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces
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摘要 在这份报纸,我们考虑在 Hilbert 空格的框架包含多珍视的放松的单调操作员的概括变化不平等的解决之可能性。我们的结果主要改进 Verma 宣布的相应结果[R U Verma,包含 multivalued 的概括变化不平等放松了单调操作员, Appl 数学 Lett, 1997, 10:107-109 ] 并且许多其它。 In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding results announced by Verma[R U Verma,Generalized variational inequalities involving multivalued relaxed monotone operators,Appl Math Lett,1997,10:107-109]and many others.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期164-169,共6页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of Hebei Province(A2010001943) Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)
关键词 变化不平等 Hilbert 空间 放松( r ) 印射的 -cocoercive variational inequality Hilbert space relaxed(γ r)-cocoercive mapping
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参考文献5

  • 1SHI P. Equivalence of variational inequalities with Wiener-Hopf equations[J]. Proc Amer Math Soc, 1991, 111: 339-346.
  • 2ASLAM Noor M. Wiener-Hopf equations and variational inequalities[J]. J Optim Theory Appl, 1993, 79: 197-206.
  • 3ASLAM Noor M. Sensitivity analysis for quasi variational inequalities[J]. J Optim Theory Appl, 1997, 95: 399-407.
  • 4ASLAM Noor M, WANG Yi-ju, XIU Nai-hua. Some new projection methods for variational inequalities[J]. Appl Math Comput, 2003, 137: 423-435.
  • 5VERMA R U. Generalized variational inequalities involving multivalued relaxed monotone operators[J]. Appl Math Lett, 1997, 10: 107-109.

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