Experimental and Numerical Simulation Research on Controllable Shock Wave-Induced Shale Fracturing under Repeated Action. [PDF]
Ding J +8 more
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Measures of weak noncompactness and fixed point theory in Banach algebras satisfying condition (<i>P</i>) [PDF]
Afif Ben Amar, Donal O’Regan
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Assessment of Four Theoretical Approaches to Predict Protein Flexibility in the Crystal Phase and Solution. [PDF]
Dziadek ŁJ +9 more
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ON THE VOLTERRA-STIELTJES INTEGRAL EQUATION AND AXIOMATIC MEASURES OF WEAK NONCOMPACTNESS [PDF]
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Essential spectra of some matrix operators by means of measures of weak noncompactness [PDF]
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On measures of weak noncompactness
Annali Di Matematica Pura Ed Applicata, 1988The authors give an axiomatic definition of measures of weak noncompactness which is in some sense parallel to \textit{B. N. Sadovskij}'s definition of measures of (strong) noncompactness [see e.g. Usp. Mat. Nauk 27, No.1, 81-146 (1972; Zbl 0243.47033)]. The first explicit measure of weak noncompactness is due to \textit{F. S. de Blasi} [Bull.
Józef Banas
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Measure of super weak noncompactness in some Banach sequence spaces
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kun Tu
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Existence of fixed points and measures of weak noncompactness
Nonlinear Analysis: Theory, Methods & Applications, 2009The author proves the existence of fixed points of an operator \(A\) which is defined on a closed convex subset \(M\) of a Banach space \(X\) into itself and satisfies the following properties: (a) the measure of weak noncompactness of \(A(C)\) where \(C\subset M\) is not relatively weakly compact is strictly less than the measure of weak compactness ...
Jesus Garcia-Falset
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Weakly demicompact linear operators and axiomatic measures of weak noncompactness
Mathematica Slovaca, 2019Abstract In this paper, we study the relationship between the class of weakly demicompact linear operators, introduced in [KRICHEN, B.—O’REGAN, D.: On the class of relatively weakly demicompact nonlinear operators, Fixed Point Theory 19 (2018), 625–630], and measures of weak noncompactness of linear operators with respect to an axiomatic one. Moreover,
Bilel Krichen, Donal O'Regan
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The author shows that, for a subset \(X\) of \(L_1\) which is compact in measure, the continuity, demicontinuity, and weak sequential continuity of \(T: X\to X\) are equivalent. This makes it possible to enlarge the applicability of fixed point theorems involving weakly condensing operators.
Józef Banas
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