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

Ioan-Radu Petre

doi:10.2478/auom-2014-0041

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 2 (June 2014)

By: Ioan-Radu Petre

Open Access

|Oct 2015

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2014-0041 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 177 - 192

Submitted on: Aug 1, 2012

Accepted on: Feb 1, 2013

Published on: Oct 20, 2015

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Compact operator,

fixed point,

generalized contraction,

generalized Banach space,

generalized metric space,

integral inclusions system,

iterative method,

Krasnoselskii’s theorem,

A-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

Related subjects:

Mathematics,

General mathematics

© 2015 Ioan-Radu Petre, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 22 (2014): Issue 2 (June 2014)