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| 关于一个非线性变分不等式系统的逼近可解性 |
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商美娟,苏永福,秦小龙
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1. 天津工业大学数学系,天津,300160;石家庄学院数学系,河北,石家庄,050035
2. 天津工业大学数学系,天津,300160
3. 韩国庆尚国立大学数学系,晋州,660-701
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| 摘要: |
| 本文研究了一个包含两个不同松弛强制映像的非线性变分不等式系统的逼近可解性.利用数值和逼近的方法,分析了一个新的迭代序列,改进和推广了近年来的一些最新结果.Abstract：In this article,we study the approximate solvability of a system of nonlinear variational inequalities involving two different relaxed cocoercive mappings in the framework of Hilbert spaces.By using the method of numerical and approximation,we suggest and analyze a new iterative scheme,which extend and improve the corresponding results announced by many others. |
| 关键词: 变分不等式 强单调映像 非扩张映像 投影方法 |
| DOI： |
| 分类号:O177.91 |
| 基金项目:Supported by National Natural Science Foundation of China(10771050) |
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| THE APPROXIMATE SOLVABILITY OF A SYSTEM OF NONLINEAR VARIATIONAL INEQUALITIES |
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SHANG Mei-juan,SU Yong-fu,QIN Xiao-long
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SHANG Mei-juan1,2,SU Yong-fu1,QIN Xiao-long3 (1. Department of Mathematics,Tianjin Polytechnic University,Tianjin 300160,China) (2. Department of Mathematics,Shijiazhuang University,Shijiazhuang 050035,China) (3. Department of Mathematics,Gyeongsang National University,Chinju 660-701,Korea)
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| Abstract: |
| In this article,we study the approximate solvability of a system of nonlinear variational inequalities involving two different relaxed cocoercive mappings in the framework of Hilbert spaces.By using the method of numerical and approximation,we suggest and analyze a new iterative scheme,which extend and improve the corresponding results announced by many others. |
| Key words: variational inequalities strongly monotone mappings nonexpansive mappings projection methods |
