ON THE SOLUTION OF EQUATIONS AND APPLICATIONS ON BANACH SPACE VALUED FUNCTIONS AND FRACTIONAL VECTOR CALCULI

TitleON THE SOLUTION OF EQUATIONS AND APPLICATIONS ON BANACH SPACE VALUED FUNCTIONS AND FRACTIONAL VECTOR CALCULI
Publication TypeJournal Article
Year of Publication2017
AuthorsAnastassiou, GA, ARGYROS, IOANNISK
Secondary TitleOn the Solution of Equations
Volume21
Issue3
Start Page405
Pagination20
Date Published06/2017
Type of Workscientific: mathematics
ISSN1083-2564
AMS26A33, 46B25, 47J05, 47J25, 65G99, 65H10
Abstract

The aim of this paper is to solve equations on Banach space using iterative methods under generalized conditions. The differentiability of the operator involved is not assumed and its domain is not necessarily convex. Several applications are suggested  including Banach space valued functions of abstract fractional calculus, where all integrals are of Bochner-type.
 
URLhttp://www.acadsol.eu/en/articles/21/3/5.pdf
DOI10.12732/caa.v21i3.5
Short TitleOn the Solution of Equations
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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