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Weak convergence of the sequence of successive approximations for nonexpansive mappings
Author(s):
Zdzisław
Opial
Journal:
Bull. Amer. Math. Soc.
73
(1967),
591-597.
MathSciNet review:
0211301
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- F. E. Browder, Fixed-point theorems for noncompact mappings in Hilbert space, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1272-1276. MR 178324
- 2.
- F. E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041-1044. MR 187120
- 3.
- F. E. Browder, Fixed point theorems for nonlinear semicontractive mappings in Banach paces, Arch. Rational Mech. Anal. 21 (1966), 259-269. MR 200753
- 4.
- F. E. Browder, W. V. Petryshyn, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571-575. MR 190745
- 5.
- W. A. Kirk, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965), 1004-1006. MR 189009
- 6.
- M. A. Krasnosel'skiĭ, Two observations about the method of successive approximations, Uspehi Mat. Nauk 10 (1955), no. 1 (63), 123-127 (Russian). MR 68119
- 7.
- H. Schaefer, Über die Methode sukzessiver Approximationen, Jber. Deutsch. Math.-Verein. 59 (1957), 131-140. MR 84116
Additional Information:
DOI:
10.1090/S0002-9904-1967-11761-0
PII:
S 0002-9904(1967)11761-0
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