Generalized iterative procedures and their applications to Banach space valued functions in abstract fractional calculus

The objective in this study is to use generalized iterative procedures in order to approximate solutions of an equation on a Banach space setting. In particular, we present a semi-local convergence analysis for these methods. Some applications are suggested including Banach space valued functions of...

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Vydané v:SeMA journal Ročník 75; číslo 2; s. 215 - 227
Hlavní autori: Anastassiou, George A., Argyros, Ioannis K.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.06.2018
Springer Nature B.V
Predmet:
Applications of Mathematics
Banach spaces
Fractional calculus
Mathematics
Mathematics and Statistics
Fractional Calculus
Semi-local convergence
46B25
26A33
65G99
65H10
47J05
Bochner-type integral
Banach space
47J25
Explicit–implicit iterative method
ISSN:2254-3902, 2281-7875
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Popis
Shrnutí:The objective in this study is to use generalized iterative procedures in order to approximate solutions of an equation on a Banach space setting. In particular, we present a semi-local convergence analysis for these methods. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2254-3902
2281-7875
DOI:10.1007/s40324-017-0130-4