| 胡慧英,曾六川.带扰动映像的广义平衡问题和不动点问题的混合粘性逼近问题[J].数学年刊A辑,2013,34(3):339~354 |
| 带扰动映像的广义平衡问题和不动点问题的混合粘性逼近问题 |
| Hybrid Viscosity Approximation Methods forGeneralized Equilibrium Problems with PerturbedMapping and Fixed Point Problems |
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| DOI： |
| 中文关键词: 非扩张映像, 不动点, 平衡问题, 逆-强单调映像 |
| 英文关键词:Non-expansive mapping, Fixed point, Equilibrium problem,
Inverse-strongly monotone mapping |
| 基金项目:国家自然科学基金 (No.11071169)和上海师范大学校级一般项目 (No.SK201304) |
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| 中文摘要: |
| 引入一个用于寻求带扰动映像的广义平衡问题解集以及可数无穷多非扩张映像之族公共不动点集的公共解的新的迭代算法.
证明了由此算法生成的序列的强收敛性. 所得的结果推广改进了先前许多作者的结果. |
| 英文摘要: |
| The authors introduce a new iterative scheme for finding a common element of
the set of solutions of generalized equilibrium problems with perturbed mapping and the set
of common fixed points of a family of infinite non-expansive mappings. Strong convergence
of the sequence generated by this iterative scheme is proven. The results presented in this
paper improve and extend the corresponding results announced by many authors. |
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