Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

NECESSARY AND SUFFICIENT CONDITIONS FOR THE CONVERGENCE OF MANN ITERATIVE SEQUENCES WITH ERRORS IN BANACH SPACES

  • Published : 2001.09.01

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Abstract

In this paper we obtain the necessary and sufficient conditions for convergence concerning the Mann iterative sequences with errors for the class of continuous accretive operators in smooth Banach spaces.

Keywords

References

  1. Nonlinear Anal. TMA v.26 Iterative solutions of nonlinear equations in smooth Banach spaces C.E.Chidume
  2. Comm. Korean Math. Soc. v.9 Mann-iteration process to the solution of y = x + Tx for an accretive operator T in some Banach spaces J.A.Park
  3. J. Korean Math. Soc. v.31 Mann-iteration process for the fixed point of strictly pseudocontractive mapping in some Banach spaces J.A.Park