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On a measure of noncompactness in the space of regulated functions and its applications
, 2018 In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Zając Tomasz, Banaś Józef
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On the Construction of a Norm Associated with the Measure of Noncompactness [PDF]
, 1976 It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E).
Eisenfeld, Jerome +2 more
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Measure of noncompactness, densifying mappings and fixed points
, 1972 The purpose of this thesis is to set forth some fixed point theorems in metric and Banach spaces for densifying mappings and k-set-contractions.
Riggio, Michele Ignazio
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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness
, 2017 This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept
Jleli, Mohamed +5 more
exaly +2 more sources
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Solvability of Generalized Fractional Order Integral Equations via Measures of Noncompactness
Mathematical Sciences, 2021Bipan Hazarika +2 more
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On Countable Determination of the Kuratowski Measure of Noncompactness
Journal of Mathematical Analysis and Applications, 2021Lixin Cheng, Xiaoling Chen
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