| Banach空间中一类广义混合非线性隐拟变分包含解的三步迭代 |
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| 引用本文： | 崔艳兰,刘江蓉.Banach空间中一类广义混合非线性隐拟变分包含解的三步迭代[J].应用数学,2004,17(2):197-202. |
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| 作者姓名： | 崔艳兰 刘江蓉 |
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| 作者单位： | 1. 延安大学计算机学院,陕西,延安,716000
2. 武汉工业学院数理系,湖北,武汉,430023 |
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| 摘 要： | 本文引入并研究了实Banach空间中一类新的广义混合非线性隐拟变分包含 ,通过对实Banach空间中的m 增生映象运用Nadler定理和Michael选择定理 ,构建了这类新的广义变分包含解的三步迭代算法 ,并证明了其解的存在性和由迭代算法生成的迭代序列的收敛性
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| 关 键 词： | 广义混合非线性隐拟变分包含 m-增生映象 三步迭代算法 Ishikawa迭代序列 Mann迭代序列 存在性 收敛性 |
| 文章编号： | 1001-9847(2004)02-0197-06 |
| 修稿时间： | 2003年5月5日 |
The Three-step Iterative Algorithms for a New Class of Generalized Mixed Nonlinear Implicit Quasi-variational Inclusions in Banach Spaces |
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| LIU Jiang-rong,CUI Yan-lan.The Three-step Iterative Algorithms for a New Class of Generalized Mixed Nonlinear Implicit Quasi-variational Inclusions in Banach Spaces[J].Mathematica Applicata,2004,17(2):197-202. |
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| Authors: | LIU Jiang-rong CUI Yan-lan |
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| Abstract: | In this paper,we introduce and study a new class of generalized mixed nonlinear implicit quasi-variational inclusions in real Banach spaces.By using Nadler's Theorem and Michael section theorem for m-accretive mapping in real Banach spaces,we construct some three-step iterative algorithms for solving this class of generalized variational inclusions.And we prove the existence of solution for this kind of variational inclusions and the convergence of iterative sequences generalized by the algorithms in Banach spaces. |
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| Keywords: | Generalized mixed nonlinear implicit quasi-variational inclusion M-accretive mapping Three-step iterative algorithm Ishikawa iterative sequence Mann iterative sequence Existence Convergence |
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