Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space

نویسندگان

  • Somyot Plubtieng
  • Kasamsuk Ungchittrakool
چکیده

In this paper, we establish strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the hybrid method in mathematical programming. Our results extend and improve the recent ones announced by Matsushita and Takahashi [A strong convergence theorem for relatively nonexpansive mappings in a Banach space, J. Approx. Theory 134 (2005) 257–266], Matinez-yanes and Xu [Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400–2411], and many others. © 2007 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 149  شماره 

صفحات  -

تاریخ انتشار 2007