# A note on fixed point theorem of Schauder type with applications

Rendiconti del Seminario Matematico della Università di Padova (1982)

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

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top## How to cite

topRzepecki, 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

top- [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] C. Berge, Topological Spaces, Oliver and Boyd Ltd, Edinburgh and London, 1963.
- [3] G. Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova, 24 (1955), pp. 84-92. Zbl0064.35704MR70164
- [4] K. Deimling, Ordinary Differential Equations in Banach Spaces, Lect. Notes in Math. 596, Springer-Verlag, 1977. Zbl0361.34050MR463601
- [5] M.A. Krasnoselskii, Two remarks on the method of successive approximations [in Russian], Uspehi Mat. Nauk, 10 (1955), pp. 123-127. MR68119
- [6] R.H. MartinJr., Nonlinear Operators and Differential Equations in Banach Spaces, John Wiley and Sons, New York, 1976. Zbl0333.47023MR492671
- [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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