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Teoremi di punto unito per applicazioni Λ-lipschitziane a più valori

  • Immacolata Del Prete
Article

Summary

In this paper the author proves some fixed points theorems for multivalued Λ-lipschitz mappings. In particular the results obtained generalize a S. B. Nadler's theorem.

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Bibliografia

  1. [1]
    F. E. Browder,On the convergence of successive approximations for nonlinear functional equations, Indagationes Math., 30 (1968), 27–35.MathSciNetGoogle Scholar
  2. [2]
    R. M. Bianchini e M. Grandolfi,Trasformazioni di tipo contrattivo generalizzato in uno spazio metrico, Rend. Sc. Mat. Fis. Nat., vol.XLV, fasc. 5 (1968) 96–100.Google Scholar
  3. [3]
    I. Del Prete,Su alcune generalizzazioni del teorema di punto unito di Banach-Caccioppoli equivalenti al criterio del rapporto, Ricerche di Matematica, vol.XX (1971), 1–9.Google Scholar
  4. [4]
    M. Edelstein,An extension of Banach's contraction principle Proc. Amer. Math. Soc., 12 (1961), 7–10.MATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    G. Goldner,On successive approximations for set valued mappings, Proc. of the conference on constructive theory of functions, 189–193.Google Scholar
  6. [6]
    S. B. Nadler,Multivalued contraction mappings, Pacific Jour. of Math., vol. 30, n.2 (1969), 475–488.MATHMathSciNetGoogle Scholar
  7. [7]
    A. Zitarosa,Una generalizzazione del teorema di Banach sulle contrazioni Le Matematiche, vol.XXIII, fasc. 2 (1968), 417–424.MathSciNetGoogle Scholar
  8. [8]
    J. L. Kelley,General Topology, Van Nostrand Company, Inc., Princeton, New Jersey, 1959.Google Scholar

Copyright information

© Springer 1974

Authors and Affiliations

  • Immacolata Del Prete
    • 1
  1. 1.Napoli

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