Iterative process with errors to locally strictly pseudocontractive maps in Banach spaces

Computers and Mathematics with Applications

Volumn 32, Issue 10, 1996, Pages 91-97

  Ding, Xie Ping ^a  

^a SICHUAN NORMAL UNIVERSITY   (China)

Author keywords

Local strictly pseudocontrictive mapping; Local strongly accretive mapping; Uniformly smooth Banach space

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS;

LOCALLY STRICTLY PSEUDOCONTRACTIVE MAPS; LOCALLY STRONGLY ACCRETIVE MAPPING; UNIFORMLY SMOOTH BANACH SPACE;

ITERATIVE METHODS;

EID: 0030287410     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(96)00187-3     Document Type: Article

References (14)

1. L. Deng and X.P. Ding, Iterative process for Lipschitz local strictly pseudocontractive mappings, Appl. Math. and Mech. 15, 119-123, (1994).
2. C.E. Chidume, Approximation of fixed points of strongly pseudocontractive mappings, Proc. Amer. Math. Soc. 120, 545-551, (1994).
3. F.E. Browder, Nonlinear mappings of nonexpansive and accretive type in Banach spaces, Bull. Amer, Math. Soc. 73, 875-882, (1967).
4. C.E. Chidume, Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings, Proc. Amer. Math. Soc. 99, 283-288, (1987).
5. X. Weng, Fixed point iteration for local strictly pseudocontractive mapping, Proc. Amer. Math. Soc. 113, 727-731, (1991).
6. p spaces, J. Math. Anal. Appl. 151, 453-461, (1990).
7. K. Deimling, Zeros of accretive operators, Manuscripta Math. 13, 365-374, (1974).
8. K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, (1985).
9. L. Deng and X.P. Ding, Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces, Nonlinear Anal. TMA 24 (7), 981-987, (1995).
10. L.S. Liu, Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces, J. Math. Anal. Appl. 194, 114-125, (1995).
11. K.K. Tan and H.K. Xu, Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces, J. Math. Anal Appl. 178, 9-21, (1993).
12. W.R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4, 506-510, (1953).
13. S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44, 147-150, (1974).
14. S. Reich, An iterative procedure for constructing zeros of accretive sets in Banach spaces, Nonlinear Anal. 2, 85-92, (1978).