| 均衡问题、变分不等式问题和不动点问题的强收敛定理 |
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| 引用本文： | 蔡钢. 均衡问题、变分不等式问题和不动点问题的强收敛定理[J]. 数学学报, 2017, 60(4): 669-680 |
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| 作者姓名： | 蔡钢 |
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| 作者单位： | 重庆师范大学数学科学学院 重庆 401331 |
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| 基金项目： | 国家自然科学基金资助项目（11401063）;重庆市自然科学基金（cstc2014jcyjA00016）和重庆市教委科技项目基金（KJ1500314） |
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| 摘 要： | 在一致光滑与2-一致凸Banach空间里,引进一个新的混合投影算法,找到了两族半相对非扩张映射的公共不动点集,有限个一般均衡问题的解集与宽松的协合算子的有限个变分不等式问题解集的公共元.所得结果推广了许多最近成果.
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| 关 键 词： | 强收敛 不动点 半相对非扩张映射 变分不等式 Banach空间 |
Strong Convergence Theorems for Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems |
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| Gang CAI. Strong Convergence Theorems for Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems[J]. Acta Mathematica Sinica, 2017, 60(4): 669-680 |
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| Authors: | Gang CAI |
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| Affiliation: | School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China |
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| Abstract: | We introduce a new hybrid projection algorithm for finding a common element of the set of common fixed points of two countable families of hemi-relatively nonexpansive mappings and the set of solutions of finite general equilibrium problems and the set of solutions of finite variational inequalities for relaxed cocoercive operators in the framework of uniformly smooth and 2-uniformly convex Banach spaces.The results obtained in this paper improve and extend the corresponding results announced by many others. |
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| Keywords: | strong convergence fixed point hemi-relatively nonexpansive mapping variational inequality Banach space |
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