ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR SYSTEMS OF NONLINEAR OPERATOR EQUATIONS IN BANACH SPACES

TitleITERATIVE APPROXIMATIONS OF SOLUTIONS FOR SYSTEMS OF NONLINEAR OPERATOR EQUATIONS IN BANACH SPACES
Publication TypeJournal Article
Year of Publication2007
AuthorsAGARWAL RAVI, CHO YEOL-JE, LAN HENG-YOU
JournalDynamic Systems and Applications
Volume16
Start Page379
Pagination13
Date Published2007
ISSN1056-2176
AMS Subject Classification47H10, 47H15
Abstract

In this paper, by virtue of the Mann iterative technique, we introduce and study a class of systems of nonlinear equations without any mixed monotone property and continuity, and prove the existence, uniqueness and Mann iterative approximation theorems of solutions for systems of nonlinear operator equations. The results presented in this paper improve and generalize the corresponding results of the earlier and recent works.
PDFhttps://acadsol.eu/dsa/articles/16/379-392-DSA-01-AgarwalChoLan.pdf
Refereed DesignationRefereed