| 关于A-增生算子的广义变分包含的Mann-型迭代算法 |
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| 引用本文： | 余显志,严尚安,肖光强,赵胜利.关于A-增生算子的广义变分包含的Mann-型迭代算法[J].后勤工程学院学报,2009,25(4):91-96. |
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| 作者姓名： | 余显志 严尚安 肖光强 赵胜利 |
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| 作者单位： | 后勤工程学院,基础部,重庆,400016 |
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| 摘 要： | 通过研究A-增生算子的性质，延伸了关于H-增生算子的预解算子概念到新的A-增生算子。通过进一步运用A-增生算子的预解算子技巧，考虑了一类新的关于A-增生算子的广义变分包含，并提出了一种Mann-型迭代算法来逼近此类广义变分包含的解。最后证明了新的一类广义变分包含解的存在性和唯一性，并讨论了由此Mann-型迭代算法产生的迭代序列的收敛特征。
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| 关 键 词： | A-增生算子 广义变分包含 预解算子技巧 Mann-型迭代算法 |
Mann-type Iterative Algorithm for Generalized Variational Inclusions Involving A-accretive Operator |
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| YU Xian-zhi,YAN Shang-an,XIAO Guang-qiang,ZHAO Sheng-li.Mann-type Iterative Algorithm for Generalized Variational Inclusions Involving A-accretive Operator[J].Journal of Logistical Engineering University,2009,25(4):91-96. |
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| Authors: | YU Xian-zhi YAN Shang-an XIAO Guang-qiang ZHAO Sheng-li |
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| Institution: | Dept.of Foundation Studies;LEU;Chongqing 400016;China |
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| Abstract: | By studying the properties of A-accretive operator,the author extends the concept of resolvent operator associated with the H -accretive operator to the new A-accretive operator.Furthermore the author considers a new class of generalized variational inclusions involving A-accretive operator and proposes a Mann-type iterative algorithm for approximating the solution of this class of generalized variational inclusions by using the resolvent operator technique for A-accretive operator.Finally,the existence and... |
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| Keywords: | A-accretive operator generalized variational inclusions resolvent operator technique Mann-type iterative algo-rithm |
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