

Bibliography
for Fixed Point Iteration
short
- Type, fixed point iteration,
and mean value theorems
Mercer, Peter R.
Internat. J. Math. Ed. Sci. Tech. 32 (2001), no. 2, 308--312,
Math. Sci. Net.
- Short proofs of stability
results for fixed point iteration procedures for a class of
contractive-type mappings.
Osilike, M. O.; Udomene, A.
Indian J. Pure Appl. Math. 30 (1999), no. 12, 1229--1234, Math.
Sci. Net.
- A new convergence result for
fixed-point iteration in bounded interval of R^n
Huang, Zhenyu
Comput. Math. Appl. 34 (1997), no. 12, 33--36, Math. Sci.
Net.
- Convergence results for fixed
point iterations in R
Herceg, D.; Kreji'c, N.
Comput. Math. Appl. 31 (1996), no. 2, 7--10, Math. Sci.
Net.
- On
the Approximation of Fixed Points For Locally Pseudo-Contractive
Mappings
Claudio H. Morales, Simba A. Mutangadura
Proceedings of the American Mathematical Society, Vol. 123, No. 2.
(Feb., 1995), pp. 417-423, Jstor.
- On
a Fixed Point Theorem of Kirk
Claudio H. Morales, Simba A. Mutangadura
Proceedings of the American Mathematical Society, Vol. 123, No.
11. (Nov., 1995), pp. 3397-3401. Jstor.
- Bounded fixed-point
iteration
Nielson, Hanne Riis; Nielson, Flemming
J. Logic Comput. 2 (1992), no. 4, 441--464, Math. Sci.
Net.
- Asymptotic
Iteration
Vladimir Drobot and Lawrence J. Wallen
Mathematics Magazine: Volume 64, Number 3, (1991), Pages:
176-180.
- Some
Interesting Fixed Points
John Mathews, Soo Tang Tan
Mathematics Magazine: Volume 63, Number 4, (1990), Pages:
263-269.
- A Historical
Survey of Solution of Functional Iteration
D.F. Bailey
Mathematics Magazine: Volume 62, Number 3, (1989), Pages:
155-166.
- Fixed
Point Iteration with Inexact Function
Values
Peter Alfeld
Mathematics of Computation, Vol. 38, No. 157. (Jan., 1982), pp.
87-98, Jstor.
- Fixed point
iteration - An interesting way to begin a calculus
course
Thomas Butts
College Math Journal: Volume 12, Number 1, (1981), Pages:
2-7.
- A
Less Strange Version of Milnor's Proof of Brouwer's Fixed-Point
Theorem
C. A. Rogers
American Mathematical Monthly, Vol. 87, No. 7. (Aug. - Sep.,
1980), pp. 525-527. Jstor.
- A
characterization of local convergence for fixed point iterations
in R^1
Stepleman, Robert S.
SIAM J. Numer. Anal. 12 (1975), no. 6, 887--894,
Jstor.
- Fixed
Points by a New Iteration Method
Shiro Ishikawa
Proceedings of the American Mathematical Society, Vol. 44, No. 1.
(May, 1974), pp. 147-150. Jstor.
- A
Remark on a Fixed-Point Theorem for Iterated Mappings (in
Classroom Notes)
V. W. Bryant
American Mathematical Monthly, Vol. 75, No. 4. (Apr., 1968), pp.
399-400. Jstor.
- On
Cowen's Note "An Elementary Fixed Point Theorem" (in Classroom
Notes)
J. G. Baron
American Mathematical Monthly, Vol. 74, No. 3. (Mar., 1967), pp.
302-303. Jstor.
- The
Approximation of Fixed Points of a Continuous
Mapping
Herbert Scarf
SIAM Journal on Applied Mathematics, Vol. 15, No. 5. (Sep., 1967),
pp. 1328-1343, Jstor.
- An
Elementary Fixed Point Theorem (in Classroom
Notes)
R. H. Cowen
American Mathematical Monthly, Vol. 72, No. 2. (Feb., 1965), pp.
165-167. Jstor.
- Extensions
of the Brouwer Fixed Point Theorem (in Mathematical
Notes)
A. B. Brown
American Mathematical Monthly, Vol. 69, No. 7. (Aug. - Sep.,
1962), p. 643. Jstor.
- A
Fixed Point Theorem (in Mathematical Notes)
L. E. Ward, Jr.
American Mathematical Monthly, Vol. 65, No. 4. (Apr., 1958), pp.
271-272. Jstor.
(c) John
H. Mathews 2003