On a class of discontinuous operators in Hilbert spaces
Boscarino, Sebastiano
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 197-202 / Harvested from Czech Digital Mathematics Library
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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]).

Publié le : 2003-01-01
Classification:  47H10 
@article{119379,
     author = {Sebastiano Boscarino},
     title = {On a class of discontinuous operators in Hilbert spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {197-202},
     zbl = {1129.47309},
     mrnumber = {2026157},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119379}
}

Boscarino, Sebastiano. On a class of discontinuous operators in Hilbert spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 197-202. http://gdmltest.u-ga.fr/item/119379/

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Ricceri B. Existence theorems for nonlinear problems, Rend. Accad. Naz. Sci. XL 11 (1987), 77-99. (1987) | MR 0930860 | Zbl 0643.47058

Shinbrot M. A fixed point theorem, and some applications, Arch. Rational Mech. Anal. 17 (1964), 255-271. (1964) | MR 0169068 | Zbl 0156.38502