Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On the set of subsequential limit points of successive approximations.


Authors: J. B. Diaz and F. T. Metcalf
Journal: Trans. Amer. Math. Soc. 135 (1969), 459-485
MSC: Primary 47.85
DOI: https://doi.org/10.1090/S0002-9947-1969-0234327-0
MathSciNet review: 0234327
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales (Thèse, Université de Léopol [=Lwów], 1920), Fund. Math. 3 (1922), 133-181.
  • [2] M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74-79. MR 0133102 (24:A2936)
  • [3] -, A remark on a theorem of M. A. Krasnoselski, Amer. Math. Monthly 73 (1966), 509-510. MR 0194866 (33:3072)
  • [4] 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 0190744 (32:8155a)
  • [5] -, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571-575. MR 0190745 (32:8155b)
  • [6] F. Tricomi, Lectures on the use of special functions by calculations with electronic computers, Lecture Series No. 47, Inst. Fluid Dynamics and Appl. Math., Univ. of Maryland, College Park, 1966.
  • [7] -, Un teorema sulla convergenza delle successioni formate delle successive iterate di una funzione di una variabile reale, Giorn. Mat. Battaglini 54 (1916), 1-9.
  • [8] A. M. Ostrowski, Solution of equations and systems of equations, Academic Press, New York, 1960. MR 0216746 (35:7575)
  • [9] M. A. Krasnosel'skiĭ, Two remarks on the method of successive approximations, Uspehi Mat. Nauk 10 (1955), no. 1(63), 123-127. (Russian) MR 0068119 (16:833a)
  • [10] V. M. Fridman, The method of successive approximations for Fredholm integral equations of the first kind, Uspehi Mat. Nauk 11 (1956), no. 1(67), 233-234. (Russian) MR 0076183 (17:861a)
  • [11] R. L. Moore, Foundations of point set theory, Amer. Math. Soc. Colloq. Publ., Vol. 13, Amer. Math. Soc., Providence, R. I., 1932. MR 0150722 (27:709)
  • [12] S. C. Chu and R. D. Moyer, On continuous functions, commuting functions, and fixed points, Fund. Math. 59 (1966), 91-95. MR 0200919 (34:805)
  • [13] S. Mazur, Über die kleinste konvexe Menge, die eine gegebene kompakte Menge enthält, Studia Math. 2 (1930), 7-9.
  • [14] F. E. Browder, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862-874. MR 0156116 (27:6048)
  • [15] G. J. Minty, On a ``monotonicity'' method for the solution of nonlinear equations in Banach spaces, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1038-1041. MR 0162159 (28:5358)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47.85

Retrieve articles in all journals with MSC: 47.85


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1969-0234327-0
Article copyright: © Copyright 1969 American Mathematical Society

American Mathematical Society