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DIANA CAPONETTI

On boundary conditions for wedge operators on radial sets

  • Authors: CAPONETTI D; TROMBETTA A; TROMBETTA G
  • Publication year: 2008
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Measure of noncompactness, k-$\psi$-contraction, wedge, relative fixed point index, radial set.
  • OA Link: http://hdl.handle.net/10447/40011

Abstract

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.