| 一类求解变分不等式和平衡问题的迭代序列的强收敛定理 |
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| 引用本文： | 周彦, 张鹏鹏,. 一类求解变分不等式和平衡问题的迭代序列的强收敛定理[J]. 重庆工商大学学报(自然科学版), 2010, 27(1): 18-23 |
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| 作者姓名： | 周彦 张鹏鹏 |
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| 作者单位： | 第三军医大学数学与生物数学教研室,重庆,400038 |
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| 摘 要： | 给出了一种改进的迭代算法,可用于求解变分不等式和平衡问题,并证明了此迭代序列的强收敛性;推广了文献[1]和[3]的结果.
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| 关 键 词： | 强正有界线性算子 逆强单调映像 无穷非扩张映像 强收敛定理 |
Strong convergence theorem of a new class of iterative sequence for solving variational inequality and equilibrium problem |
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| ZHOU Yan; ZHANG Peng-peng. Strong convergence theorem of a new class of iterative sequence for solving variational inequality and equilibrium problem[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 2010, 27(1): 18-23 |
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| Authors: | ZHOU Yan ZHANG Peng-peng |
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| Affiliation: | ZHOU Yan,ZHANG Peng-peng(Department of Mathematics,Third Military Medical University,Chongqing 400038,China) |
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| Abstract: | A new class of iterative sequence for solving variational inequality and equilibrium problem is introduced and studied.And a strong convergence theorem for iterative sequence is established.Our results improve and extend the recent corresponding results in [1] and [3]. |
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| Keywords: | strongly positive bounded linear operator inverse-strongly monotone mapping infinitely nonexpansive mapping strong convergence theorem |
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