6533b832fe1ef96bd129a480

RESEARCH PRODUCT

On Boundary Conditions for Wedge Operators on Radial Sets

Diana CaponettiAlessandro TrombettaG. Trombetta

subject

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 eigenvectorsMathematics

description

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.

https://doi.org/10.1080/01630560802418128