대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제37권1호
  • /
  • Pages.109-119
  • /
  • 2000
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ITERATIVE APPROXIMATIONS OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Chang, S.S (DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY) ;
  • Park, J.Y (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY) ;
  • Cho, Y.J (DEPARTMENT OF MATHEMATICS, GYEONGSANG NATIONAL UNIVERSITY)
  • 발행 : 2000.02.01
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초록

The purpose of this paper is to study the iterative approximations of fixed points for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the main results in Geobel-Kirk [4], Liu [5] and Schu [7].

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참고문헌

  1. Proc. Natl. Acad. Sci. USA v.54 Nonexpansive nonlinear operators in Banach spaces F.E. Browder
  2. Nonlinear Anal. TMA v.30 no.7 Some problems and results in the study of nonlinear analysis S.S. Chang
  3. J. Math. Anal. Appl. v.224 Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces S.S. Chang;Y.J. Cho;J.S. Jung;S.M. Kang
  4. Proc. Amer. Math. Soc. v.35 no.1 A fixed point theorem for asymptotically nonexpansive mappings K. Goebel;W.A.Kirk
  5. Nonlinear Anal. TMA v.26 no.11 Convergence theorems of the sequence of iterates for asymptotically demi-contractive and hemi-contractive mappings Q.H.Liu
  6. J. Math. Anal. Appl. v.56 Comments on two fixed point iteration methods B.E. Rhoades
  7. J. Math. Anal. Appl. v.158 Iterative construction of fixed points of asymptotically nonexpansive mappings J. Schu
  8. Proc. Amer. Math. Soc. v.113 Fixed point iteration for local strictly pseudo-contractive mappings X.Weng