| 一类含广义m-增生算子的广义变分包含系统解的迭代算法 |
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| 引用本文： | 袁梅,梁涛,刘爱华.一类含广义m-增生算子的广义变分包含系统解的迭代算法[J].四川师范大学学报(自然科学版),2011,34(1):51-54. |
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| 作者姓名： | 袁梅 梁涛 刘爱华 |
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| 作者单位： | 1. 乐山职业技术学院数学系,四川,乐山,614000
2. 西南交通大学数学学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金(10671135)资助项目 |
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| 摘 要： | 在实q-一致光滑的Banach空间中,研究了一类含广义m-增生算子的广义变分包含系统,利用关于广义m-增生算子的预解算子技巧,在得到了这类新的广义变分包含系统解的存在性和唯一性的基础上,进一步地,构造了其逼近解的Mann扰动迭代算法,在一定条件下,得到了这类迭代算法的收敛性和稳定性.所得结果,统一和发展了近期有关文献的相应结果.
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| 关 键 词： | 广义变分包含系统 广义m-增生算子 迭代算法 稳定性 |
Iterative Algorithms of Solution for a New System of Generalized Variational Inclusions Involving Generalized m-Accretive Mappings |
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| YUAN Mei,LIANG Tao,LIU Ai-hua.Iterative Algorithms of Solution for a New System of Generalized Variational Inclusions Involving Generalized m-Accretive Mappings[J].Journal of Sichuan Normal University(Natural Science),2011,34(1):51-54. |
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| Authors: | YUAN Mei LIANG Tao LIU Ai-hua |
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| Institution: | YUAN Mei1,LIANG Tao2,LIU Ai-hua1(1.Department of Mathematics,Leshan College of Profession and Technology,Leshan 614000,Sichuan,2.College of Mathematics,Southwest Jiaotong University,Chengdu 610031,Sichuan) |
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| Abstract: | In this paper,a new system of generalized variational inclusions involving genrealized m-accretive mappings in q-uniformally smooth Banach spaces is studied.Using resolvent operator technique,a Mann type perturbed iterative algorithm for the new system is constructed.The convergence criteria and the stability of Mann type perturbed iterative algorithm are also discussed.The techniques and results presented in this paper improve and develop some corresponding results for the variational inequalities and incl... |
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| Keywords: | a system of generalized variational inclusions generalized m-accretive mapping iterative algorithm stability |
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