대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권2호
  • /
  • Pages.309-323
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Ishikawa-Type And Mann-Type Iterative Processes With Errors For m-Accretive Operators

  • 발행 : 2000.04.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The purposes of this paper are to revise the definitions of Ishikawa and Mann type iterative processes with errors, to study the unique solution of the m-accretive operator equation x+Tx=f and the convergence problem of Ishikawa and Mann type iterative processes with errors for m-accretive mappings without the Lipschitz condition. The results presented in this paper improve, extend, and unify the corresponding results in [4, 7, 8, 12, 16] in more general setting.

키워드

참고문헌

  1. Bull. Amer. Math. Soc v.73 Nonlinear mappings of nonexpansive and accretive type in Banach spaces F. B. Browder
  2. Proc. Nat. Acad. Sci. U. S. A v.61 Nonlinear monotone and accretive operators in Banach spaces F. E. Browder
  3. Nonlinear Anal. TMA v.30 no.7 Some problems and results in the study of nonlinear analysis S. S. Chang
  4. J. Austral. Math. Soc v.41 An approximation method for monotone Lipschitzian operators in Hilbert spaces C. E. Chidume
  5. Appl. Anal v.33 Iterative solution of nonlinear equations of the monotone and dissipative types C. E. Chidume
  6. Bull. Austral. Math. Soc v.42 Iterative solution of nonlinear equations of the monotone type in Banach spaces C. E. Chidume
  7. J. Math. Anal. Appl v.189 Approximation methods for nonlinear operator equations of the m-accretive type C. E. Chidume;M. O. Osilike
  8. J. Math. Anal. Appl v.209 Iterative process with errors of nonlinear equations involving m-accretive operators X. P. Ding
  9. Proc. Amer. Math. Soc v.44 Fixed points by a new iteration method S. Ishikawa
  10. J. Math. Soc. Japan v.19 Nonlinear semigroups and evolution equations T. Kato
  11. J. Math. Anal. Appl v.194 Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces L. S. Liu
  12. Nonlinear Anal v.34 Ishikawa type and Mann type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces L. S. Liu
  13. Proc. Amer. Math. Soc v.4 Mean value methods in iteration W. R. Mann
  14. Proc. Amer. Math. Soc v.26 A global existence theorem for autonomous differential equatins in Banach spaces R. H. Martin, Jr
  15. J. Math. Anal. Appl v.75 Strongly convergence theorems for resolvents of accretive operators in Banach spaces S. Reich
  16. J. Math. Anal. Appl v.188 Iterative solution of nonlinear equations involving m-accretive operators in Banach spaces L. Zhu