Krasnoselskii's theorem in generalized Banach spaces and application

Krasnoselskii's theorem in generalized Banach spaces and application

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 inclusion...

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Bibliographic Details
Main Authors: I. R. Petre, Adrian Petrusel
Format: Article
Language:English
Published: University of Szeged 2012-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
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
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1873

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