Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

ISHIKAWA ITERATIVE PROCESS WITH ERRORS FOR STRONGLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES

  • Li, Yong-Jin (Department of Mathematics Sun Yat-sen University)
  • Published : 2004.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we study the Ishikawa iterative sequences with errors for Lipschitzian strongly pseudo-contractive operator in arbitrary real Banach spaces. Our results improve the results obtained previously by C. E. Chidume [3] and Zeng [9].

Keywords

References

  1. Bull. Amer. Math. Soc. v.73 Nonlinear mappings of nonexpansive and accretive type in Banach spaces F. E. Browder https://doi.org/10.1090/S0002-9904-1967-11823-8
  2. Proc. Amer. Math. Soc. v.99 no.2 Iterative approximation of fixed points of Lipschitz strictly pseudo-contractive mappings C. E. Chidume https://doi.org/10.2307/2046626
  3. Proc. Amer. Math. Soc. v.126 no.9 Global iterative schemes for strongly psedu-contractive maps C. E. Chidume https://doi.org/10.1090/S0002-9939-98-04322-6
  4. J. Math. Anal. Appl. v.269 no.2 Iterative solution of 0 ∈ Ax for an m-accretive operator A in certain Banach spaces C. E. Chidume;H. Zegeye https://doi.org/10.1016/S0022-247X(02)00015-X
  5. J. Math. Soc. Japan. v.19 Nonlinear semigroups and evolutions equations T. Kato https://doi.org/10.2969/jmsj/01940508
  6. Acta Math. Sinica. v.41 On iterative process for Lipschitz strongly accretive operators Y. Li;L. Liu
  7. J. Math. Anal. Appl. v.194 no.1 Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces L. S. Liu https://doi.org/10.1006/jmaa.1995.1289
  8. J. Nonlinear. Anal. v.2 no.1 An iterative procedure for constructing zeros of accretive sets in Banach spaces S. Reich https://doi.org/10.1016/0362-546X(78)90044-5
  9. Chinese Ann. Math. Ser. A. v.22 Ishikawa type Iterative sequences with errors for Lipschitzian strongly pseudocontractive mappings in Banach spaces L. C. Zeng