Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
GRONWALL LEMMAS: TEN OPEN PROBLEMS
IOAN A. RUS
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Keywords: fixed point, lower fixed point, upper fixed point, abstract Gronwall lemma, concrete, Gronwall lemma, Picard operator, weakly Picard operator, operatorial inequality, integral inequality, differential inequality, Hyers-Ulam-Rassias stability
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2009 Volume 70 Issue 2 Pages 221-228

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Abstract
The aim of this paper is to present ten research problems of the theory of Gronwall lemmas. These problems are in relation with: concrete Gronwall lemmas, abstract Gronwall lemmas, techniques of proof in concrete Gronwall lemmas, Picard and weakly Picard operator theory, operatorial inequations, differential inequalities, integral inequalities and applications of Gronwall lemmas.
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© 2009 International Society for Mathematical Sciences
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