1. 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.  
2. 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.
3. Fixed point iteration for pseudocontractive maps  
   Chidume, C. E.; Moore, Chika  
   Proc. Amer. Math. Soc. 127 (1999), no. 4, 1163--1170, Math. Sci. Net.  
4. Nonlinear hybrid procedures and fixed point iterations  
   Brezinski, C.; Chehab, J.-P.  
   Numer. Funct. Anal. Optim. 19 (1998), no. 5-6, 465--487, Math. Sci. Net.  
5. A modified fixed point iteration method for solving exchange models  
   Nenakhov, E. I.; Primak, M. E.  
   Optimization 39 (1997), no. 1, 43--52, Math. Sci. Net.  
6. A new convergence result for fixed-point iteration in bounded interval of   
   Huang, Zhenyu  
   Comput. Math. Appl. 34 (1997), no. 12, 33--36, Math. Sci. Net.  
7. Random relaxation of fixed-point iteration  
   Verkama, Markku  
   SIAM J. Sci. Comput. 17 (1996), no. 4, 906--912, Math. Sci. Net.  
8. 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.  
9. Stability results for fixed point iteration procedures  
   Osilike, M. O.  
   J. Nigerian Math. Soc.14/15 (1995/96), 17--29, Math. Sci. Net.  
10. Fixed point iterations for a certain class of nonlinear mappings  
    Osilike, M. O.  
    Soochow J. Math. 21 (1995), no. 4, 441--449, Math. Sci. Net.  
11. Stability results for the Ishikawa fixed point iteration procedure  
    Osilike, M. O.
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12. Intermediate Value Theorems and Fixed Point Theorems For Semi-Continuous Functions in Product Spaces  
    Jean Guillerme  
    Proceedings of the American Mathematical Society, Vol. 123, No. 7. (Jul., 1995), pp. 2119-2122. Jstor.  
13. 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.  
14. On a Fixed Point Theorem of Kirk  
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15. Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings  
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16. Approximation of Fixed Points of Strongly Pseudocontractive Mappings  
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17. Fixed point iteration processes for asymptotically nonexpansive mappings  
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18. Approximation of Fixed Points of Strongly Pseudocontractive Mappings  
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19. Fixed point iterations in R  
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20. Fixed point theorems and stability results for fixed point iteration procedures. II  
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21. Some fixed point iterations  
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22. Stabilization of Unstable Procedures: The Recursive Projection Method  
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23. Correction to the paper: "Fixed point iterations for a class of nonlinear mappings"  
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24. Bounded fixed-point iteration  
    Nielson, Hanne Riis; Nielson, Flemming  
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25. Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping  
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    Proceedings of the American Mathematical Society, Vol. 113, No. 3. (Nov., 1991), pp. 727-731, Jstor.  
26. Asymptotic Iteration  
    Vladimir Drobot and Lawrence J. Wallen  
    Mathematics Magazine: Volume 64, Number 3, (1991), Pages: 176-180.  
27. Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping  
    Xinlong Weng  
    Proceedings of the American Mathematical Society, Vol. 113, No. 3. (Nov., 1991), pp. 727-731, Jstor.  
28. Approximation of Fixed Points of Asymptotically Nonexpansive Mappings  
    Jurgen Schu  
    Proceedings of the American Mathematical Society, Vol. 112, No. 1. (May, 1991), pp. 143-151, Jstor.  
29. Some Interesting Fixed Points  
    John Mathews, Soo Tang Tan  
    Mathematics Magazine: Volume 63, Number 4, (1990), Pages: 263-269.
30. Stability of the Fixed Point Property and Universal Maps  
    Jose M. R. Sanjurjo  
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31. An Iteration Process for Nonexpansive Mappings with Applications to Fixed Point Theory in Product Spaces  
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32. A Historical Survey of Solution of Functional Iteration  
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33. Approximation Theorems and Fixed Point Theorem in Cones  
    Tzu-Chu Lin  
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34. Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings  
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35. Fixed Point Iteration with Inexact Function Values  
    Peter Alfeld  
    Mathematics of Computation, Vol. 38, No. 157. (Jan., 1982), pp. 87-98, Jstor.  
36. On the Continuous Realization of Iterative Processes  
    Moody T. Chu  
    SIAM Review, Vol. 30, No. 3. (Sep., 1988), pp. 375-387, Jstor.  
37. Fixed Point Iteration with Inexact Function Values  
    Peter Alfeld  
    Mathematics of Computation, Vol. 38, No. 157. (Jan., 1982), pp. 87-98, Jstor.  
38. Fixed point iteration - An interesting way to begin a calculus course  
    Thomas Butts  
    College Math Journal: Volume 12, Number 1, (1981), Pages: 2-7.  
39. 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.  
40. Weak Convergence to the Fixed Point of an Asymptotically Nonexpansive Map  
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41. Fixed point iterations using linear mappings  
    Kasahara, Shouro
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42. Approximation to Fixed Points of Generalized Nonexpansive Mappings  
    Chi Song Wong  
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43. Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space  
    Shiro Ishikawa  
    Proceedings of the American Mathematical Society, Vol. 59, No. 1. (Aug., 1976), pp. 65-71, Jstor.  
44. Comments on two fixed point iteration methods  
    Rhoades, B. E.
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45. 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.  
46. Fixed point iterations of nonexpansive mappings  
    Reich, Simeon
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47. 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.  
48. Fixed Point Iterations Using Infinite Matrices  
    B. E. Rhoades  
    Transactions of the American Mathematical Society, Vol. 196. (Sep., 1974), pp. 161-176. Jstor.  
49. On the Approximation of Fixed Points of Nonlinear Compact Operators  
    Richard Weiss  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 3. (Jun., 1974), pp. 550-553, Jstor.  
50. 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.  
51. Simplicial Approximation of Fixed Points  
    Harold W. Kuhn  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 61, No. 4. (Dec. 15, 1968), pp. 1238-1242, Jstor.  
52. 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.  
53. 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.  
54. An Elementary Fixed Point Theorem (in Classroom Notes)  
    R. H. Cowen  
    American Mathematical Monthly, Vol. 72, No. 2. (Feb., 1965), pp. 165-167. Jstor.  
55. Stability and Asymptotic Fixed-Point Theory  
    G. Stephen Jones  
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56. Extensions of the Brouwer Fixed Point Theorem (in Mathematical Notes)  
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    American Mathematical Monthly, Vol. 69, No. 7. (Aug. - Sep., 1962), p. 643. Jstor.  
57. The Application of a Fixed-Point Theorem to a Variety of Nonlinear Stability Problems  
    Arnold Stokes  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 45, No. 2. (Feb. 15, 1959), pp. 231-235. Jstor.  
58. 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