ITERATIVE SOLUTIONS TO NONLINEAR EQUATIONS OF THE ACCRETIVE TYPE IN BANACH SPACES

  • Liu, Zeqing (Department of Mathematics Liaoning Normal University, China) ;
  • Zhang, Lili (Department of Mathematics Liaoning Normal University, China) ;
  • Kang, Shin-Min (Department of Mathematics Gyeongsang National University)
  • Published : 2001.12.30

Abstract

In this paper, we prove that under certain conditions the Ishikawa iterative method with errors converges strongly to the unique solution of the nonlinear strongly accretive operator equation Tx=f. Related results deal with the solution of the equation x+Tx=f. Our results extend and improve the corresponding results of Liu, Childume, Childume-Osilike, Tan-Xu, Deng, Deng-Ding and others.

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