Search results for "Measure of noncompactness"

showing 4 items of 14 documents

Recensione: MR3038069 Reviewed Banaś, Józef; Ben Amar, Afif Measures of noncompactness in locally convex spaces and fixed point theory for the sum of…

2013

Settore MAT/05 - Analisi MatematicaMeasure of noncompactness fixed point theory
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A note on boundary conditions for nonlinear operators

2008

We investigate boundary conditions for strict-$\psi$-contractive and $\psi$-condensing operators. We derive results on the existence of eigenvectors with positive and negative eigenvalues and we obtain fixed point theorems for classes of noncompact opera\-tors.

Settore MAT/05 - Analisi MatematicaMeasure of noncompactness k-$\psi$-contraction $\psi$-condensing operator fixed point index.
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Eigenvectors of k-psi-contractive wedge operators

2008

We present new boundary conditions under which the fixed point index of a strict-$\psi$-contractive wedge operator is zero. Then we investigate eigenvalues and corresponding eigenvectors of k-$\psi$-contractive wedge operators.

Settore MAT/05 - Analisi MatematicaMeasure of noncompactness k-$\psi$-contractiove operator \sep $\psi$-condensing operator \sep wedge.
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Compactness in Groups of Group-Valued Mappings

2022

We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure. Quantitative characteristics modeled on these concepts allow us to estimate the Hausdorff measure of noncompactness in such a contest. Our results extend and encompass some generalizations of Fréchet–Šmulian and Ascoli–Arzelà compactness criteria found in the literature.

equimeasurabilitySettore MAT/05 - Analisi MatematicaGeneral Mathematicsuniform quasiboundednessComputer Science (miscellaneous)convergence (and local convergence) in measuremeasure of noncompactnessgroupgroup; pseudonorm; convergence (and local convergence) in measure; measure of noncompactness; equimeasurability; uniform quasiboundednesspseudonormEngineering (miscellaneous)Mathematics
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