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Approximating common fixed points of asymptotically nonexpansive mappings

강정임|조열제|Haiyun Zhou
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 661-670

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Abstract

In this paper, we deal with approximations of common fixed points of the iterative sequences with errors for three asymptotically nonexpansive mappings in a uniformly convex Banach space. Our results generalize and improve the corresponding results of Khan and Takahashi, Schu, Takahashi and Tamura, and others.

참고문헌 (11)

  1. "Iterative Methods for Nonlinear Operator Equations in Banach Spaces", inc. (2002), Nova Science Publishers
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  3. "A fixed point theorem for asymptotically nonexpansive mappings", 35(1), pp.171~174 (1972)
  4. "Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces", 30, pp.249~252 (1989)
  5. "Approximating common fixed points of two asymptotically nonexpansive mappings", 53, pp.143~148 (2001)
  6. "Iterative approximation of fixed points of two asymptotically nonexpansive mappings without compact domains to appear in Panamer. Math. J."
  7. "Weak convergence of the sequence of successive approximations for nonexpansive mappings", 73, pp.59~59 (1967)
  8. "Weak and strong convergence to fixed points of asymptotically nonexpansive mappings", 43, pp.153~159 (1991)
  9. "Iterative construction of fixed points of asymptotically nonexpansive mappings", 158, pp.407~413 (1991)
  10. "Convergence theorems for a pair of nonexpansive mappings", 5(1), pp.45~58 (1995)
  11. "Approximating fixed points of nonexpansive mappings", 178, pp.301~308 (1993)

관련 논문AI추천

Convergence theorems for asymptotically pseudocontractive mapsD. I. Igbokwe, M. O. Osilike대한수학회 · 대한수학회보2002 · 제39권 제3호Stability of Iterative Sequences Approximating Common Fixed Point for a System of Asymptotically Quasi-nonexpansive Type Mappings조열제, Jun Li, Nan-jing Huang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호Iterative approximation of fixed points for strongly pseudo-contractive mappingsBhavana Deshpande, Sushil Sharma대한수학회 · 대한수학회보2002 · 제39권 제1호On iterative approximation of common fixed points of asymptotically nonexpansive mappings with applications김종규, 임원희, Xiaolong Qin영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Iterative algorithms with errors for nonexpansive mappings in Banach spaces정종수대한수학회 · 대한수학회보2006 · 제43권 제4호Convergence Theorems of The Iterative Sequences for Nonexpansive MappingsHaiyun Zhou, Jung Im Kang, Yeol Je Cho대한수학회 · 대한수학회논문집2004 · 제19권 제2호

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