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A Note on Iterative Solutions of Nonlinear Accretive Operator Equations 被引量:1

A Note on Iterative Solutions of Nonlinear Accretive Operator Equations
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摘要 Suppose that X is a real Banach space, H: X→X is a Lipschitz operator, T: X→X is a uniformly continuous operator with bounded range, and H+T is strongly accretive. Then the Ishikawa iteration process converges strongly to the unique solution of the equation Hx+Tx=f . This conclusion extends the corresponding results in recent papers. Suppose that X is a real Banach space, H: X→X is a Lipschitz operator, T: X→X is a uniformly continuous operator with bounded range, and H+T is strongly accretive. Then the Ishikawa iteration process converges strongly to the unique solution of the equation Hx+Tx=f . This conclusion extends the corresponding results in recent papers.
作者 张国伟
出处 《Northeastern Mathematical Journal》 CSCD 2000年第4期459-462,共4页 东北数学(英文版)
关键词 Ishikawa iteration strongly accretive operator Lipschitz operator Ishikawa iteration, strongly accretive operator, Lipschitz operator
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  • 1Chidume ,C .E,Osilike,M .O.IterativesolutionsofnonlinearaccretiveoperatorequationsinarbitraryBanachspaces[].Nonlinear Analysis.1999
  • 2ChaiGuoqing.SomeconvergencetheoremsforiterativesequenceofcertainnonlinearoperatorsinBanachspaces[].ActaMath Sci ( ).(1998)
  • 3Kato,T.Nonlinearsemigroupsandevolutionequations[].JMath SocJapan ( ).(1967)

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