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迭代程序强收敛于广义拟变分包含解的表征

On Characterizations of the Strong Convergence of the Iterative Process to Solutions of Generalized Quasi-variational Inclusions
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摘要 研究了一致光滑实Banach空间中含k-次增生映射和φ-强增生映射的一类无紧性条件的广义拟变分包含解的逼近问题,给出了具混合误差的Ishikawa迭代序列强收敛到广义拟变分包含解的特征定理,所得结果改进和推广了近期许多相关结果. The approximation problem of solutions to a class of generalized quasi-variational inclusions including k-subaccretive mapping and φ-strongly accretive mapping without compactness conditions is investigated. The characterization theorems that the Ishikawa iterative sequences with mixed errors convergences strongly to solutions of quasi-variational inclusions are given. These results improve and generalize many recent known corresponding results.
出处 《宁夏大学学报(自然科学版)》 CAS 北大核心 2008年第4期289-293,共5页 Journal of Ningxia University(Natural Science Edition)
基金 国家自然科学基金资助项目(10271025) 浙江省自然科学基金资助项目(Y606717) 浙江省教育厅科研计划重点资助项目(20061154)
关键词 广义拟变分包含 k-次增生映射 Φ-强增生算子 特征定理 generalized quasi-variational inclusion k-subaccretive mapping φ-strongly accretive mapping characterization theorem
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