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Approximation of fixed points of a strictly pseudocontractive mapping
Author(s):
Liwei
Liu
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1363-1366.
MSC (1991):
Primary 47H17
MathSciNet review:
1430761
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Abstract:
A fixed point of the strictly pseudocontractive mapping is obtained as the limit of an iteratively constructed sequence with error estimation in general Banach spaces.
References:
- 1.
- X. Weng, Fixed point iteration for local strictly pseudocontractive mapping, Proc. Amer. Math. Soc. 113 (1991), 727-731. MR 92b:47099
- 2.
- C. E. Chidume, Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings, Proc. Amer. Math. Soc. 99 (1987), 283-288. MR 87m:47122
- 3.
- -, Approximation of fixed points of strongly pseudocontractive mappings, Proc. Amer. Math. Soc. 120 (1994), 545-550. MR 94d:47056
- 4.
- -, An iterative process for nonlinear Lipschitzian strongly accretive mappings in
spaces, J. Math. Anal. Appl. 151 (1990), 453-461. MR 91k:47131 - 5.
- K-K. Tan and H-K. Xu, Iterative solutions to nonlinear equation of strongly accretive operators in Banach spaces, J. Math. Anal. Appl. 178 (1993), 9-21. MR 94g:47085
- 6.
- J. Bogin, On strict pseudo-contractions and a fixed point theorem, Technion preprint series No. MT-219, Haifa, Israel, 1974.
- 7.
- J. C. Dunn, Iterative construction of fixed points for multi-valued operators of the monotone type, J. Funct. Anal. 27 (1978), 30-50. MR 81f:47056
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Additional Information:
Liwei
Liu
Affiliation:
Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330047, People's Republic of China
DOI:
10.1090/S0002-9939-97-03858-6
PII:
S 0002-9939(97)03858-6
Keywords:
Strictly pseudocontractive mapping,
iterative process
Received by editor(s):
July 11, 1995
Received by editor(s) in revised form:
November 3, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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