CQ Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem of Infinite Family of Quasi--asymptotically Nonexpansive Mappings in Banach Spaces |
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基金项目: | Supported by the Foundation for Young Scholars of the Education Department of Sichuan Province(No.09ZB102) |
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摘 要: | In this paper, we prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problems, the set of fixed points of infinite family of quasi- C-asymptotically non-expansive mappings in a Banach space by using the CQ method. Our results improve the main results of Takahashi and Takahashi and Takahashi and Zembayashi. Moreover, the method of proof adopted in the paper is different from that of them.
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关 键 词: | Banach空间 平衡问题 渐近非扩张映象 不动点 混合 广义 渐近非扩张映射 家庭 |
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