Measures of Non-compactness

Józef Banaś () and Mohammad Mursaleen ()
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Józef Banaś: Rzeszów University of Technology, Department of Mathematics
Mohammad Mursaleen: Aligarh Muslim University, Department of Mathematics

Chapter Chapter 5 in Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, 2014, pp 147-184 from Springer

Abstract: Abstract The degree of non-compactness of a set is measured by means of functions called measures of non-compactness. In this chapter we study the three main and most frequently used measures of non-compactness (MNCs).

Keywords: Kuratowski measure of noncompactness; Hausdorff measure of noncompactness; Inner Hausdorff measure of noncompactness; Istrăţescu measure of noncompactness; Axiomatic definition of a measuare of noncompactness; Kernel of a measure of noncompactness; Regular mesure of noncompactness; Measure of noncompactness of operator; Condensing operator; Darbo theorem (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1886-9_5

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DOI: 10.1007/978-81-322-1886-9_5

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