Józef Banaś (2012)
Open Mathematics
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The aim of this paper is to make an overview of some existence results for nonlinear differential and integral equations. Those results were obtained by the author and his co-workers during last years with some help of the technique of measures of noncompactness and a fixed point theorem of Darbo type.
Józef Banaś, Antonio Martinón (1992)
Mathematica Slovaca
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Jozef Banas, Antonio Martinón (1990)
Extracta Mathematicae
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The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example. The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance). ...
Daria Bugajewska (2000)
Mathematica Slovaca
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J. Ayerbe, T. Domínguez Benavides, S. Cutillas (1997)
Colloquium Mathematicae
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We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in spaces for the main measures of noncompactness.
Józef Banaś (1980)
Commentationes Mathematicae Universitatis Carolinae
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K. David Elworthy (1976)
Mémoires de la Société Mathématique de France
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