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  • Research Article
  • Open Access

Weak convergence of an iterative sequence for accretive operators in Banach spaces

Fixed Point Theory and Applications20062006:35390

https://doi.org/10.1155/FPTA/2006/35390

  • Received: 21 November 2005
  • Accepted: 6 December 2005
  • Published:

Abstract

Let be a nonempty closed convex subset of a smooth Banach space and let be an accretive operator of into . We first introduce the problem of finding a point such that where is the duality mapping of . Next we study a weak convergence theorem for accretive operators in Banach spaces. This theorem extends the result by Gol'shteĭn and Tret'yakov in the Euclidean space to a Banach space. And using our theorem, we consider the problem of finding a fixed point of a strictly pseudocontractive mapping in a Banach space and so on.

Keywords

  • Banach Space
  • Differential Geometry
  • Weak Convergence
  • Computational Biology
  • Iterative Sequence

[12345678910111213141516171819202122232425]

Authors’ Affiliations

(1)
Department of Economics, Chiba University, Yayoi-Cho, Inage-Ku,Chiba-Shi, Chiba 263-8522, Japan
(2)
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-Ku, Tokyo 152-8522, Japan

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