East Asian mathematical journal

  • 제24권1호
  • /
  • Pages.125-137
  • /
  • 2008
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
권호 표지

APPROXIMATIONS OF THE ITERATIVE SEQUENCES FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Chang, Shih-Sen (DEPARTMENT OF MATHEMATICS, YIBIN UNIVERSITY, SICHUAN UNIVERSITY) ;
  • Cho, Yeol-Je (DEPARTMENT OF MATHEMATICS EDUCATION, THE RESEARCH INSTITUTE OF NATURAL SCIENCES, COLLEGE OF EDUCATION, GYEONGSANG NATIONAL UNIVERSITY) ;
  • Zhou, Haiyun (DEPARTMENT OF MATHEMATICS, SHIJIZHUANG MECHANICAL ENGINEERING COLLEGE)
  • 발행 : 2008.01.31
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초록

In this paper, we first introduce some iterative sequences of Halpern type for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces and then we discuss strong convergence for the iterative processes. The results presented in this paper extend, supplement and improve the correspoding main results of Reich [11], Shimizu and Takahashi [13], Shioji and Takahashi [15], [16] and Wittmann [18].

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