A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces
| 20 oct 2015
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Publicado en línea: 20 oct 2015
Páginas: 177 - 192
Recibido: 01 ago 2012
Aceptado: 01 feb 2013
DOI: https://doi.org/10.2478/auom-2014-0041
Palabras clave
Compact operator, fixed point, generalized contraction, generalized Banach space, generalized metric space, integral inclusions system, iterative method, Krasnoselskii’s theorem, -contraction, matrix convergent to zero, multivalued operator, Perov’s theorem, relatively compact operator, sum of two operators, vector-valued metric, vector-valued norm, Fredholm-Volterra type inclusions system
© 2014 Ioan-Radu Petre, published by De Gruyter Open
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, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.