<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.</p></abstract>

The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.

A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces

Department of Applied Mathematics, University of Babeş-Bolyai, Kogălniceanu No. 1, 400084, Cluj-Napoca, România.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application,...

A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces

Published Online: Oct 20, 2015

Page range: 177 - 192

Received: Aug 01, 2012

Accepted: Feb 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0041

© 2014 Ioan-Radu Petre, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.