On fixed point theorems for absolute retracts

Dariusz Bugajewski

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 4, page 459-467
  • ISSN: 0139-9918

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Bugajewski, Dariusz. "On fixed point theorems for absolute retracts." Mathematica Slovaca 51.4 (2001): 459-467. <http://eudml.org/doc/31802>.

@article{Bugajewski2001,
author = {Bugajewski, Dariusz},
journal = {Mathematica Slovaca},
keywords = {absolute retract; fixed point; measure of noncompactness; Darbo-Sadovski fixed point theorem},
language = {eng},
number = {4},
pages = {459-467},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On fixed point theorems for absolute retracts},
url = {http://eudml.org/doc/31802},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Bugajewski, Dariusz
TI - On fixed point theorems for absolute retracts
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 4
SP - 459
EP - 467
LA - eng
KW - absolute retract; fixed point; measure of noncompactness; Darbo-Sadovski fixed point theorem
UR - http://eudml.org/doc/31802
ER -

References

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  3. BANAS J.-GOEBEL K., Measures of Noncompactness in Banach Spaces, Lecture Notes in Pure and Appl. Math. 60, Marcel Dekker, New York-Basel, 1980. (1980) Zbl0441.47056MR0591679
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  9. DUGUNDJI J.-GRANAS A., Fixed Point Theory, Vol. I, PWN, Warsaw, 1982. (1982) Zbl0483.47038MR0660439
  10. ESPINOLA-GARCIA R., Darbo-Sadovski's theorem, in hyperconvex spaces, In: The Proceedings of the Workshop: Functional Analysis: Methods and Applications, Camigliatello Silano, May 29-June 2 1995. Rend. Circ. Mat. Palermo (2) Suppl. 40 (1996), 129-137. (1995) MR1407086
  11. FURI M.-VIGNOLI A., On a property of the unit sphere in a linear normed space, Bull. Polish Acad. Sci. Math. 18 (1970), 333-334. (1970) Zbl0194.43501MR0264373
  12. GORNIEWICZ L.-ROZPLOCH-NOWAKOWSKA D., On the Schauder fixed point theorem, In: Topology in Nonlinear Analysis. Banach Center Publ. Vol. 35, Polish Acad. Sci., Warsaw, pp. 207-219. Zbl0852.55005MR1448438
  13. ISBELL J. R., Six theorems about injective metric spaces, Comment. Math. Helv. 39 (1964/1965), 65-74. (1964) Zbl0151.30205MR0182949
  14. KRASNOSEL'SKII M. A., Two remarks on the method of successive approximations, Uspekhi Mat. Nauk 10 (1955), 123-127. (Russian) (1955) MR0068119
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