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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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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 。 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.
出处 《上海师范大学学报(自然科学版)》 2002年第3期7-13,共7页 Journal of Shanghai Normal University(Natural Sciences)
基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina( 1 980 1 0 2 3)
关键词 非线性方程 迭代逼近 ISHIKAWA迭代 Lipschitz强增生算子 伪压缩映像 BANACH空间 收敛性 iterative approximation Lipschitzian Strongly accretive operator pseudocontractive mapping.
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