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Lipschitz强增生算子的非线性方程解的迭代逼近(英文)

Iterative Approximation of Solutions to Nonlinear Equations of Lipschitzian and Strongly Accretive Operators

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【作者】 曾六川刘瑞娟

【Author】 ZENG Lu-chuan, LIU Rui-juan(Mathematical and Science College, Shanghai Teachers University, Shanghai 200234, China )

【机构】 上海师范大学数理信息学院上海师范大学数理信息学院 上海200234上海200234

【摘要】 研究了p一致光滑Banach空间中Lipschitz强增生算子方程解的Ishikawa的迭代过程的收敛性 ,改进与推广了一些最近结果

【Abstract】 In this paper, we investigate the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f in case T is a Lipschitzian and strongly accretive operator from X into X, or to the unique fixed point of T in case T is a Lipschitzian and strictly pseudocontractive mapping from a bounded closed convex subset into itself. Our results improve and extend some recent results.

【基金】 ProjectsupportedbytheNationalNaturalScienceFoundationofChina( 1 980 1 0 2 3)
  • 【文献出处】 上海师范大学学报(自然科学版) ,Journal of Shanghai Teachers University , 编辑部邮箱 ,2002年03期
  • 【分类号】O241.7
  • 【下载频次】14
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