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Krasnoselskii's theorem in generalized Banach spaces and application
- Source :
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 85, Pp 1-20 (2012)
- Publication Year :
- 2012
- Publisher :
- University of Szeged, 2012.
-
Abstract
- The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators. As applications, we will give some existence results for abstract system of Fredholm-Volterra type differential equations and inclusions.
- Subjects :
- compact operator
complete generalized metric space
contraction principle
fixed point
generalized contraction
generalized banach space
generalized metric space
integral equation
integral inclusion
iterative method
krasnoselskii theorem
a-contraction
matrix convergent to zero
multivalued operator
picard operator
perov theorem
relatively compact operator
singlevalued operator
schauder theorem
sum of two operators
vector-valued metric
vector-valued norm
weakly picard operator
fredholm-volterra equation
fredholm-volterra inclusion
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 14173875
- Volume :
- 2012
- Issue :
- 85
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Qualitative Theory of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.75300078fc54045a312b95d4393a750
- Document Type :
- article
- Full Text :
- https://doi.org/10.14232/ejqtde.2012.1.85