A generalization of the Schauder fixed point theorem via multivalued contractions

Cubiotti, Paolo, and Di Bella, Beatrice. "A generalization of the Schauder fixed point theorem via multivalued contractions." Commentationes Mathematicae Universitatis Carolinae 42.4 (2001): 637-640. <http://eudml.org/doc/248813>.

@article{Cubiotti2001,
abstract = {We establish a fixed point theorem for a continuous function $f:X\rightarrow E$, 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.},
author = {Cubiotti, Paolo, Di Bella, Beatrice},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed points; multivalued contractions; absolute retracts; fixed points; multivalued contractions; absolute retracts},
language = {eng},
number = {4},
pages = {637-640},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A generalization of the Schauder fixed point theorem via multivalued contractions},
url = {http://eudml.org/doc/248813},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Cubiotti, Paolo
AU - Di Bella, Beatrice
TI - A generalization of the Schauder fixed point theorem via multivalued contractions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 4
SP - 637
EP - 640
AB - We establish a fixed point theorem for a continuous function $f:X\rightarrow E$, 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.
LA - eng
KW - fixed points; multivalued contractions; absolute retracts; fixed points; multivalued contractions; absolute retracts
UR - http://eudml.org/doc/248813
ER -