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关于集值非线性混合变分不等式问题 被引量:4

On Multivalued Nonlinear Mixed Variational Inequality Problems
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摘要 本文研究一类广义集值非线性混合变分不等式问题,建立了其解的存在性定理.我们的工作是zhang工作的修正.我们的结果是Cho etc.和Verma的相应结果的改进和发展. In this paper, we study a class of generalized multivalued nonlinear mixed variational inequality problems. We establish several existence results for the problem. Our work revise the errors in Zhang, and improve and extend the corresponding results in Cho etc. and Verma.
机构地区 南昌大学数学系
出处 《应用数学学报》 CSCD 北大核心 2007年第2期356-360,共5页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(1056007) 江西省自然科学基金(0411036)资助项目.
关键词 变分不等式 η- 单调映射 充分必要条件 variational inequality η-monotone mapping sufficient and necessary conditions
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  • 1邱洋青,刘理蔚.一类集值非线性混合变分包含问题和隐拟变分不等式问题的逼近解[J].南昌大学学报(理科版),2007,31(2):113-116. 被引量:5
  • 2LanHeng-you.(Ai,η)-Accretive Mappings and Set-valued Vari-ational Inclusions withRelaxedCocoercive Mappings in Banach Spaces[J].Applied Mathematics Letters,2007,20(5):571-577.
  • 3FangYP Huang N J.H-accretive Operators and Resolvent Operate rTechnique for Solving Variarional Inclusions in BanachSpaces[J].Appl Math Lett,2004,17(6):647-653.
  • 4Peng J W,Zhu D L A New System of Generalized Mixed Quasi-variational Inclusional Inclusions with (A,η)-monotone Operators[J].J MathAnal Appl,2007,327:(1)175-187.
  • 5Kazmi K R, Khan F A. Iterative Approximation of a Solution of Multi-valued Variational-like Inclusion in Spaces: A -proximal- point Mapping Approach [J]. J Math Anal Appl, 2007, 325 (1):665-674.
  • 6Peng J W, Zhu D L. A New System of Generalized Mixed Quasi- variational Inclusions with (H,η)-monotone Operators [J]. J Math Anal Appl, 2007,327(1):175-187.
  • 7PENG J W, ZHU D L. The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (H, rl)-monotone operators. J Glob Optim, 2007, 38(3): 386 403.
  • 8PENG J W, ZHU D L. A new system of generalized mixed quasi-variational inclusions with (H, r/)- monotone operators[J]. J Math Anal Appl, 2007, 327(1): 175 178.
  • 9Kazmi K R, Khan F A. Iterative approximation of a solution of multi-valued variational-like inclusion in Banach spaces: A p- r/-proximal-point mapping approach[J]. J Math Anal Appl, 2007, 325(1): 665 674.
  • 10LAN Hengyou. (A, η)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces[J]. Applied Mathematics Letters, 2007, 20(5): 571 577.

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