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Hicks, Troy L.; Kubicek, John D.

On the Mann iteration process in a Hilbert space. (English) Zbl 0361.65057

J. Math. Anal. Appl. 59, 498-504 (1977).
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Cited in 5 Reviews
Cited in 96 Documents

MSC:

65J05 General theory of numerical analysis in abstract spaces
47H10 Fixed-point theorems
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\textit{T. L. Hicks} and \textit{J. D. Kubicek}, J. Math. Anal. Appl. 59, 498--504 (1977; Zbl 0361.65057)
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References:

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[2] Dotson, W.G, On the Mann iteration process, Trans. amer. math. soc., 149, 65-73, (1970) · Zbl 0203.14801
[3] Franks, R.L; Marzec, R.P, A theorem on Mean-value iterations, (), 324-326 · Zbl 0229.26005
[4] Goëbel, K; Kirk, W.A; Shimi, T.N, A fixed point theorem in uniformily convex spaces, Boll. U.M.I., 7, (1973) · Zbl 0265.47045
[5] Groetsch, C.W, A note on segmenting Mann iteraties, J. math. anal. appl., 40, 369-372, (1972) · Zbl 0244.47042
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[11] Kannan, R, Fixed point theorems in reflexive Banach spaces, (), 111-118 · Zbl 0265.47038
[12] Mann, W.R, Mean value methods in iteration, (), 506-510 · Zbl 0050.11603
[13] Opial, Z, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. amer. math. soc., 73, 591-597, (1967) · Zbl 0179.19902
[14] Outlaw, C; Groetsch, C.W, Averaging iteration in a Banach space, Bull. amer. math. soc., 75, 430-432, (1969) · Zbl 0199.44903
[15] Petryshyn, W.V; Williamson, T.E, Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings, J. math. anal. appl., 43, 459-497, (1973) · Zbl 0262.47038
[16] Wong, C.S, Fixed points and characterizations of certain maps, Pacific J. math., 54, 305-312, (1974) · Zbl 0254.47075
[17] Reinermann, J, Neue existenz-und konvergenzsätze in der fixpunkttheoric nichtlinearer operatoren, J. approx. theory, 8, 387-399, (1973) · Zbl 0276.47048
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