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Lipschitz Φ-强增生映象方程解的迭代逼近

Nterativel Solution of Equations for Lipschitz Φ-strpmgly Accretove Mappings
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摘要 在任意的实Banach空间研究了Lipschitz Φ-强增生映象方程解的迭代序列副近,改进了C.E.Chidume的有关定理,推广了C.E.Chidume和M.O.Osilike的相关研究结果,使之更具一般性. The approximation problem of solutions for Lipschitz Φstrongly acretive mappings in general Banach spaces,is investigated.Since strongly accretive mappings are the special cases of Φ-strongly mappings,the results presented in this paper imporve and extend relevant results of reference literature.
作者 石秀文
机构地区 邢台学院数学系
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2007年第5期468-470,共3页 Journal of Hebei University(Natural Science Edition)
关键词 LipschitzΦ-强增生映象 修改的Ishikawa迭代序列 修改的Mann迭代序列 Lipschitz Φ-strongly accretive mappings revised Ishikawa iterative sequence revised Mann iterative sequence
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参考文献4

  • 1[1]LIU ZEQING,KANG S M.Iterative solutions of nonlinear equations with Φ-strongly accretive operators in uniformly smooth Banach spaces[J].Computers with Appl,2003,45:623-634.
  • 2[2]CHIDUME C E.Iterative solutions of nonlinear equations with strongly accretive operator[J].Math Anal Appl,1995,192:545-551.
  • 3[3]CHIDUME C E,OSILIKE M O.Nonlinear accretive and pseudo-contractive operator equations in Banach space[J].Nonlinear Analysis,1998,31(7):779-789.
  • 4[4]OSILIKE M O.Iterative solution of nonlinear Φ-accretive operator equations in arbitrary Banach spaces[J].Nonlinear Analysis,1999,36:1-9.

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