A generalization of the Schauder fixed point theorem via multivalued contractions
Cubiotti, Paolo ; Di Bella, Beatrice
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 637-640 / Harvested from Czech Digital Mathematics Library
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We establish a fixed point theorem for a continuous function $f:X\to E$, where $E$ is a Banach space and $X\subseteq E$. Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.

Publié le : 2001-01-01
Classification:  47H04,  47H10 
@article{119279,
     author = {Paolo Cubiotti and Beatrice Di Bella},
     title = {A generalization of the Schauder fixed point theorem via multivalued contractions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {637-640},
     zbl = {1068.47070},
     mrnumber = {1883372},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119279}
}

Cubiotti, Paolo; Di Bella, Beatrice. A generalization of the Schauder fixed point theorem via multivalued contractions. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 637-640. http://gdmltest.u-ga.fr/item/119279/

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