| Banach空间中的一类广义混合非线性隐拟变分包含 |
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| 引用本文： | 刘江蓉.Banach空间中的一类广义混合非线性隐拟变分包含[J].武汉工业学院学报,2006,25(3):121-124. |
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| 作者姓名： | 刘江蓉 |
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| 作者单位： | 武汉工业学院,数理科学系,湖北,武汉,430023 |
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| 摘 要： | 给出了Banach空间中一类广义集值混合非线性隐拟变分包含问题，通过对m-增生映象运用Nadler定理和隐预解算子技巧，构建了这类广义变分包含的迭代算法，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： | 广义集值混合非线性隐拟变分包含 m-增生映象 迭代算法 收敛性 |
| 文章编号： | 1009-4881（2006）03-0121-04 |
| 收稿时间： | 2006-03-06 |
| 修稿时间： | 2006年3月6日 |
A CLASS OF GENERALIZED SET-VALUED MIXED NONLINEAR IMPLICIT QUASI-VARIATIONAL INCLUSION IN BANACH SPACES |
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| LIU Jiang-rong.A CLASS OF GENERALIZED SET-VALUED MIXED NONLINEAR IMPLICIT QUASI-VARIATIONAL INCLUSION IN BANACH SPACES[J].Journal of Wuhan Polytechnic University,2006,25(3):121-124. |
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| Authors: | LIU Jiang-rong |
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| Affiliation: | Department of Mathematics and Physics, Wuhan Polytechnic University, Wuhan 430023, China |
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| Abstract: | In this paper,we introduce a class of generalized set-valued mixed nonlinear implicit quasi-variational inclusion in Banach spaces. By using Nadler's Theorem and the implicit resolvent operator technique for m-accretive mapping,we construct some new iterative algorithms for solving this class of generalized set-valued variational inclusions.We prove the existence of solution for this kind of set-valued variational inclusions and the convergence of iterative sequences generalized by the algorithms in Banach spaces. |
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| Keywords: | generalized set-valued mixed nonlinear implicit quasi-variational inclusion m-accretive mapping iterative algorithm convergence |
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