ON THE SOLVABILITY OF SOME OPERATOR EQUATIONS AND INCLUSIONS IN BANACH SPACES WITH THE WEAK TOPOLOGY

TitleON THE SOLVABILITY OF SOME OPERATOR EQUATIONS AND INCLUSIONS IN BANACH SPACES WITH THE WEAK TOPOLOGY
Publication TypeJournal Article
Year of Publication2011
AuthorsDJEBALI, SMAIL, O’REGAN, DONAL, SAHNOUN, ZAHIRA
Secondary TitleCommunications in Applied Analysis
Volume15
Issue1
Start Page125
Pagination140
Date Published01/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS45D05, 47H10, 47H30, 47J05, 54C60.
Abstract
The aim of this paper is to present some existence results regarding operator equation and operator inclusions in some Banach spaces endowed with the weak topology. The results complement those obtained in [19, 20, 21, 22]. The Schauder-Tychonov fixed point is used with the weak measure of noncompactness. Applications to Volterra integral equations and inclusions are also provided.
URLhttp://www.acadsol.eu/en/articles/15/1/10.pdf
Short TitleOPERATOR EQUATIONS AND INCLUSIONS
Refereed DesignationRefereed
Full Text

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