Search results for "Fixed point index"

showing 3 items of 3 documents

On Boundary Conditions for Wedge Operators on Radial Sets

2008

We present a theorem about calculation of fixed point index for k-$\psi$-contractive operators with 0 < k <1 defined on a radial set of a wedge of an infinite dimensional Banach space. Then results on the existence of eigenvectors and nonzero fixed points are obtained.

Control and OptimizationRadial setMathematical analysisBanach spaceFixed-point indexMeasure of noncompactness k-$\psi$-contraction wedge relative fixed point index radial set.Fixed pointFixed-point propertyWedge (geometry)Computer Science ApplicationsSchauder fixed point theoremSettore MAT/05 - Analisi MatematicaSignal ProcessingAnalysisEigenvalues and eigenvectorsMathematicsNumerical Functional Analysis and Optimization
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Eigenvectors of k–ψ-contractive wedge operators

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

Radial setFixed point indexψ-condensing operatorMeasure of noncompactness k–ψ-contractive operatorWedgeRetractionApplied Mathematics Letters
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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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