On a class of discontinuous operators in Hilbert spaces
Commentationes Mathematicae Universitatis Carolinae (2003)
- Volume: 44, Issue: 2, page 197-202
- ISSN: 0010-2628
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topBoscarino, Sebastiano. "On a class of discontinuous operators in Hilbert spaces." Commentationes Mathematicae Universitatis Carolinae 44.2 (2003): 197-202. <http://eudml.org/doc/249164>.
@article{Boscarino2003,
abstract = {We construct a class of discontinuous operators in infinite-dimensional separable Hilbert spaces, answering a natural question which arises in comparing a fixed point theorem of Altman and Shinbrot ([1], [4]) with its improvement obtained by Ricceri ([2], [3]).},
author = {Boscarino, Sebastiano},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point; Hilbert space; weak topology; discontinouous operator; fixed point; Hilbert space; weak topology; discontinuous operator; surjectivity theorem},
language = {eng},
number = {2},
pages = {197-202},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a class of discontinuous operators in Hilbert spaces},
url = {http://eudml.org/doc/249164},
volume = {44},
year = {2003},
}
TY - JOUR
AU - Boscarino, Sebastiano
TI - On a class of discontinuous operators in Hilbert spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 2
SP - 197
EP - 202
AB - We construct a class of discontinuous operators in infinite-dimensional separable Hilbert spaces, answering a natural question which arises in comparing a fixed point theorem of Altman and Shinbrot ([1], [4]) with its improvement obtained by Ricceri ([2], [3]).
LA - eng
KW - fixed point; Hilbert space; weak topology; discontinouous operator; fixed point; Hilbert space; weak topology; discontinuous operator; surjectivity theorem
UR - http://eudml.org/doc/249164
ER -
References
top- Altman M., A fixed point theorem in Hilbert space, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 5 (1957), 19-22. (1957) Zbl0077.31902MR0087064
- Ricceri B., Un théorème d'existence pour les inéquations variationnelles, C.R. Acad. Sci. Paris, Série I 301 (1985), 885-888. (1985) Zbl0606.49006MR0823146
- Ricceri B., Existence theorems for nonlinear problems, Rend. Accad. Naz. Sci. XL 11 (1987), 77-99. (1987) Zbl0643.47058MR0930860
- Shinbrot M., 10.1007/BF00282289, Arch. Rational Mech. Anal. 17 (1964), 255-271. (1964) Zbl0156.38502MR0169068DOI10.1007/BF00282289
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