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The solution by iteration of nonlinear functional equations in Banach spaces
Author(s):
F. E.
Browder;
W. V.
Petryshyn
Journal:
Bull. Amer. Math. Soc.
72
(1966),
571-575.
MathSciNet review:
0190745
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- L. P. Belluce and W. A. Kirk, Fixed point theorems for families of contraction mappings, (to appear). MR 199703
- 2.
- F. E. Browder, On the iteration of transformations in noncompact minimal dynamical systems, Proc. Amer. Math. Soc. 9 (1958), 773-780. MR 96975
- 3.
- F. E. Browder, Existence of periodic solutions for nonlinear equations of evolution, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1100-1103. MR 177295
- 4.
- 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
- 5.
- F. E. Browder, Mapping theorems for noncompact nonlinear operators in Banach spaces, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 337-342. MR 180883
- 6.
- F. E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041-1044. MR 187120
- 7.
- F. E. Browder, Fixed point theorems for nonlinear semicontractive mappings in Banach spaces, Arch. Rational Mech. Anal., (to appear). MR 200753
- 8.
- F. E. Browder and W. V. Petryshyn, The solution by iteration of linear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 566-570. MR 190744
- 9.
- W. A. Kirk, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965), 1004-1006. MR 189009
- 10.
- M. A. Krasnoselskiĭ, Two remarks about the method of successive approximations, Uspehi Mat. Nauk 10 (1955), no. 1 (63), 123-127. MR 68119
- 11.
- W. V. Petryshyn, On the construction of fixed points and solutions of nonlinear equations with demicompact mappings, (to appear).
- 12.
- H. Schaefer, Über die Methode sukzessiver Approximationen, Jber. Deutsch. Math.-Verein. 59 (1957), 131-140. MR 84116
Additional Information:
DOI:
10.1090/S0002-9904-1966-11544-6
PII:
S 0002-9904(1966)11544-6
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