A note on fixed point theorem of Schauder type with applications

Bogdan Rzepecki

Rendiconti del Seminario Matematico della Università di Padova (1982)

  • Volume: 66, page 1-6
  • ISSN: 0041-8994

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Rzepecki, Bogdan. "A note on fixed point theorem of Schauder type with applications." Rendiconti del Seminario Matematico della Università di Padova 66 (1982): 1-6. <http://eudml.org/doc/107842>.

@article{Rzepecki1982,
author = {Rzepecki, Bogdan},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {fixed point theorem of Schauder type; cover; convex closed subset; generalized measure of noncompactness; spectral radius},
language = {eng},
pages = {1-6},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on fixed point theorem of Schauder type with applications},
url = {http://eudml.org/doc/107842},
volume = {66},
year = {1982},
}

TY - JOUR
AU - Rzepecki, Bogdan
TI - A note on fixed point theorem of Schauder type with applications
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1982
PB - Seminario Matematico of the University of Padua
VL - 66
SP - 1
EP - 6
LA - eng
KW - fixed point theorem of Schauder type; cover; convex closed subset; generalized measure of noncompactness; spectral radius
UR - http://eudml.org/doc/107842
ER -

References

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  1. [1] A. Ambrosetti, Un teorema di esistenza per le equazioni differenziali negli negli spazi di Banach, Rend. Sem. Mat. Univ. Padova, 39 (1967), pp. 349-360. Zbl0174.46001MR222426
  2. [2] C. Berge, Topological Spaces, Oliver and Boyd Ltd, Edinburgh and London, 1963. 
  3. [3] G. Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova, 24 (1955), pp. 84-92. Zbl0064.35704MR70164
  4. [4] K. Deimling, Ordinary Differential Equations in Banach Spaces, Lect. Notes in Math. 596, Springer-Verlag, 1977. Zbl0361.34050MR463601
  5. [5] M.A. Krasnoselskii, Two remarks on the method of successive approximations [in Russian], Uspehi Mat. Nauk, 10 (1955), pp. 123-127. MR68119
  6. [6] R.H. MartinJr., Nonlinear Operators and Differential Equations in Banach Spaces, John Wiley and Sons, New York, 1976. Zbl0333.47023MR492671
  7. [7] J.M. Ortega - W. C. RHEINBOLDT, Iterative Solutions of Nonlinear Equations in Several Variables, Academic Press, New York, 1970. Zbl0241.65046MR273810

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