Results 21 to 30 of about 488 (166)
Real Interpolation and Measure of Weak Noncompactness
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
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A class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which involves retarded and advanced arguments.
Sina Etemad +4 more
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On a measure of non-compactness for singular integrals
It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below.
Alexander Meskhi
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Generalized quasi-Banach sequence spaces and measures of noncompactness
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Compact Operators on the Sets of Fractional Difference Sequences
The sets of fractional difference sequences have been studied in the literature recently. In this work, some identities or estimates for the operator norms and the measure of noncompactness of certain operators on difference sets of sequences of ...
Faruk Özger
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A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type [PDF]
In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of
Shahram Banaei, Mohammad Bagher Ghaemi
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In this study, we used Foxp3‐fatemapping mice to examine the cell lineage stability of Treg cells in pregnancy. Ex‐Foxp3 cells were identified in gestational tissues. However, Treg cells retained lineage stability with no increased ex‐Foxp3 generation, regardless of inflammatory challenges that induce preterm birth.
Kerrie L Foyle +6 more
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Remarks on Various Measures of Noncompactness
Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
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Continuity of modulus of noncompact convexity for minimalizable measures of noncompactness
We consider the modulus of noncompact convexity $ _{X, }(\varepsilon)$ associated with the minimalizable measure of noncompactness $ $. We present some properties of this modulus, while the main result of this paper is showing that $ _{X, }(\varepsilon)$ is a subhomogenous and continuous function on $[0, (\bar{B}_X))$ for an arbitrary ...
Rekić-Vuković, Amra +3 more
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Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
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