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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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