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Approximating fixed points by ishikawa iterates

Published online by Cambridge University Press:  17 April 2009

M. Maiti  and
M.K. Ghosh
M. Maiti
Affiliation:
Department of MathematicsIndian Institute of TechnologyKharagpur – 721302India
M.K. Ghosh
Affiliation:
Department of MathematicsNarajole Raj CollegeMidnaporeIndia
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Abstract

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In a uniformly convex Banach space the convergence of Ishikawa iterates to a fixed point is discussed for nonexpansive and generalised nonexpansive mappings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 1 , August 1989 , pp. 113 - 117
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Bose, R.K. and Mukherjee, R.N., ‘Approximating fixed points of some mappings’, Proc. Amer. Math. Soc. 82 (1981), 603–606.CrossRefGoogle Scholar
[2]Dotson, W.G. Jr., ‘On the Mann iterative process’, Trans. Amer. Math. Soc. 149 (1970), 65–73.CrossRefGoogle Scholar
[3]Goebel, K., Kirk, W.A. and Shimi, T.N., ‘A fixed point theorem in uniformly convex spaces’, Boll. Un. Mat. Ital. 7 (1973), 67–75.Google Scholar
[4]Ishikawa, S., ‘Fixed points by a new iteration method’, Proc. Amer. Math. Soc. 44 (1974), 147–150.CrossRefGoogle Scholar
[5]Mann, W.R., ‘Mean value methods in iteration’, Proc. Amer. Math. Soc. 4 (1953), 506–510.CrossRefGoogle Scholar
[6]Senter, H.F. and Dotson, W.G. Jr., ‘Approximating fixed points of nonexpansive mappings’, Proc. Amer. Math. Soc. 44 (1974), 375–380.CrossRefGoogle Scholar