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一类非线性发展方程解的迭代逼近

Iterative Approximation of Solutions for a class of Nonlinear Evolution Equations
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摘要 研究了强增生算子或严格伪压缩算子的非线性发展方程 ,在某些条件下 ,其解的带误差 Ishikawa迭代逼近的收敛定理。该结果改进和推广了目前已有的结果。 On certain hypotheses,the convergence theorem of the Ishikawa iteration approximation with error is discussed for a class of nonlinear evolution equation involving strongly accretionary operators of strictly pseudocontractive mappings.The results improve and extend the use of all work at present,and correct mistake in Ding's paper[6].
作者 薛志群
出处 《石家庄铁道学院学报》 2000年第1期35-38,共4页 Journal of Shijiazhuang Railway Institute
关键词 强增生算子 严格伪压缩算子 非线性发展方程解 arbitrary real Banach space strongly accretionary operator strictly pseudocontractive mapping ishikawa iteration with error
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参考文献5

  • 1[1]C.E. Chidume. Iterative solution of nonlinear equations with strongly accretive operators. J. Math. Anal. Appl. 1995,(192):502~518
  • 2[2]Liu Lishan. Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces. J. Math. Arul. Appl. 1995,194(1) :114~125
  • 3[3]Zeng Liuchuan. Errors bounds for approximation Solution to nonlinear equation of strongly accretive operators in un formly smooth Banach Spaces. J. Math. Anal.Appl.1997, (209) :67480
  • 4[4]Zhou Hai yun. Iterative solution of nonlinear equations involving strongly accretive operators without Lipschitz assumption, 1997,2(3) :2964307
  • 5[5]Chang Shisheng. Iterative approximations of fixed poinis and solutions for strongly accretive and strongly pseudo--con-tractive mappings in Banach spaces. J. Math. Anal. Appl.1998, (224): 1494165

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