Countably condensing multimaps and fixed points

Countably condensing multimaps and fixed points

In this paper we present a generalization of the Daher's fixed point theorem to countably condensing multimaps. We obtain this result as a consequence of a new M\"onch type theorem for multimaps having weakly closed graph.

Bibliographic Details
Main Authors:	Tiziana Cardinali, Paola Rubbioni
Format:	Article
Language:	English
Published:	University of Szeged 2012-10-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	countably condensing multimap fixed point measure of noncompactness weakly closed graph quasi-convex set
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1914

Description
Summary:	In this paper we present a generalization of the Daher's fixed point theorem to countably condensing multimaps. We obtain this result as a consequence of a new M\"onch type theorem for multimaps having weakly closed graph.
ISSN:	1417-3875