×

zbMATH — the first resource for mathematics

A generalization of the Schauder fixed point theorem via multivalued contractions. (English) Zbl 1068.47070
Summary: 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.
MSC:
47H10 Fixed-point theorems
47H04 Set-valued operators
PDF BibTeX XML Cite
Full Text: EMIS EuDML