Bibliography for Fixed Point Iteration

short

  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. 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.  
  4. 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.  
  5. 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.  
  6. 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.  
  7. Bounded fixed-point iteration  
    Nielson, Hanne Riis; Nielson, Flemming  
    J. Logic Comput. 2 (1992), no. 4, 441--464, Math. Sci. Net.  
  8. Asymptotic Iteration  
    Vladimir Drobot and Lawrence J. Wallen  
    Mathematics Magazine: Volume 64, Number 3, (1991), Pages: 176-180.  
  9. Some Interesting Fixed Points  
    John Mathews, Soo Tang Tan  
    Mathematics Magazine: Volume 63, Number 4, (1990), Pages: 263-269.
  10. A Historical Survey of Solution of Functional Iteration  
    D.F. Bailey  
    Mathematics Magazine: Volume 62, Number 3, (1989), Pages: 155-166.  
  11. Fixed Point Iteration with Inexact Function Values  
    Peter Alfeld  
    Mathematics of Computation, Vol. 38, No. 157. (Jan., 1982), pp. 87-98, Jstor.  
  12. Fixed point iteration - An interesting way to begin a calculus course  
    Thomas Butts  
    College Math Journal: Volume 12, Number 1, (1981), Pages: 2-7.  
  13. 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.  
  14. 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.  
  15. 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.  
  16. 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.  
  17. 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.  
  18. 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.  
  19. An Elementary Fixed Point Theorem (in Classroom Notes)  
    R. H. Cowen  
    American Mathematical Monthly, Vol. 72, No. 2. (Feb., 1965), pp. 165-167. Jstor.  
  20. 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.  
  21. 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