Results 1 to 10 of about 89 (78)

On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness [PDF]

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015
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Garcia-Falset, Jesús, Latrach, Khalid
exaly   +4 more sources

Real Interpolation and Measure of Weak Noncompactness

Mathematische Nachrichten, 1995
AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
exaly   +4 more sources

APPLICATION OF MEASURES OF WEAK NONCOMPACTNESS TO A NONLOCAL DARBOUX PROBLEM

Demonstratio Mathematica, 2009
AbstractIn this paper we study the existence of pseudosolutions of a nonlocal hyperbolic Darboux problem for the ...
Piotr Majcher, Sushil Sharma
exaly   +2 more sources

Measures of weak noncompactness and nonlinear integral equations of convolution type

Journal of Mathematical Analysis and Applications, 1990
The authors prove that the equation \(x(t)=f[t,\int^{\infty}_{0}k(t- s)x(\phi (s))ds]\) has a monotone solution \(x\in L^ 1(0,\infty)\) if suitable conditions are imposed on the functions f, k, and \(\phi\). The proof builds on measures of weak noncompactness [\textit{F. S. De Blasi}, Bull. Math. Soc. Sci. Math. R. S. R. n. Ser.
Józef Banas
exaly   +2 more sources

Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness

Journal of Mathematical Analysis and Applications, 2013
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Paola Rubbioni, Tiziana Cardinali
exaly   +4 more sources

Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces [PDF]

Opuscula Mathematica, 2012
The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, Fatima-Zohra Mostefai
doaj   +1 more source

Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems

Boundary Value Problems, 2023
In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function.
Hussein A. H. Salem, Mieczysław Cichoń, Wafa Shammakh   +2 more
doaj   +1 more source

Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum

Filomat, 2022
In this paper, we show that an unbounded weakly S0-demicompact linear operator T, introduced in [18], acting on a Banach space, can be characterized by some measures of weak noncompactness. Moreover, our results are illustrated to discuss the relationship with Fredholm and upper semi-Fredholm operators as well as the stability of the ...
Aref Jeribi, Bilel Krichen, Makrem Salhi
openaire   +1 more source

Measure of weak noncompactness under complex interpolation [PDF]

Studia Mathematica, 2001
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Andrzej Krzysztof Kryczka, Stanisław Prus   +1 more
openaire   +1 more source

Relative $$\varepsilon$$-pseudo weak demicompactness and measures of weak noncompactness

Annals of Functional Analysis, 2020
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Chtourou, Ines, Krichen, Bilel
openaire   +2 more sources