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2014 On Some Vector-Valued Inequalities of Gronwall Type
Dah-Chin Luor
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/973586


In this paper we established some vector-valued inequalities of Gronwall type in ordered Banach spaces. Our results can be applied to investigate systems of real-valued Gronwall-type inequalities. We also show that the classical Gronwall-Bellman-Bihari integral inequality can be generalized from composition operators to a variety of operators, which include integral operators, maximal operators, geometric mean operators, and geometric maximal operators.


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Dah-Chin Luor. "On Some Vector-Valued Inequalities of Gronwall Type." Abstr. Appl. Anal. 2014 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07023432
MathSciNet: MR3166674
Digital Object Identifier: 10.1155/2014/973586

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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