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Φ-强增生映象方程解的具误差迭代序列逼近过程

An Iterative Approximation with Frrors of Solution of Equations for Φ-strongly Accretive Mappings
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摘要 在任意的实Banach空间中,研究Φ-强增生映象T的方程的解的具误差Ishikawa迭代序列的逼近问题,改进并推广了Chidume CE,Osilike M O中的相关研究结果,使结论更具一般性. This article studys the Ishikawa iterative method with errors converges storongiy to the solutions of the equations for Ф-strongly accretive mappings in general Banach spaces, the results presented in this paper improve and extend relevant results of Chidume C. E, Osilike Mo.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第9期178-182,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(10661011) 河北省科技支撑计划项目(2007sp047)
关键词 Ф-强增生映象 强增生映象 ISHIKAWA迭代序列 一致连续 Ф-strongly accretive mappings strongly accretive mappings Ishikawa iterative sequence uniformly continuous
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参考文献5

  • 1Liu Lishan. Ishikawa-type and Mann-tape iterative processes with errors for constructing solutions ofnonlinear equations involving m-accretive operators in Banach soaces [J]. Nonlinear Analysis, 1998,34 (7) : 307-317.
  • 2Liu Zeqing, Kang S M. Iterative solutions of nonlinear equations with Φstrongly accretive operators in uniformly smooth Banach spaces[J]. Computers Math with Appl, 2003,45,623-634.
  • 3Kato T. Nonlinear semigroups and evolution equations[J]. J Math Soc Japan, 1964,19:502-520.
  • 4Chidume C E, Osilike M O. herative solutions of nonlinear accretive operator equations in arbitrary Banach spaces[J]. Nonlinear Analysis, 1999,36:863-872.
  • 5Chidume CE, Osilike M O. Nonlinear accretive and pseudo-contractive operator equations in Banach spaces[J]. Nonlinear Analysis, 1998,31 (7) :779-789.

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