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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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 | References | Similar articles | Additional information

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:

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X. Weng, Fixed point iteration for local strictly pseudocontractive mapping, Proc. Amer. Math. Soc. 113 (1991), 727-731. MR 92b:47099

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C. E. Chidume, Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings, Proc. Amer. Math. Soc. 99 (1987), 283-288. MR 87m:47122

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-, Approximation of fixed points of strongly pseudocontractive mappings, Proc. Amer. Math. Soc. 120 (1994), 545-550. MR 94d:47056

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-, An iterative process for nonlinear Lipschitzian strongly accretive mappings in $L_p$ spaces, J. Math. Anal. Appl. 151 (1990), 453-461. MR 91k:47131

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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

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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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