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.
CAPONETTI D, TROMBETTA A, TROMBETTA G (2008). On boundary conditions for wedge operators on radial sets. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 29, 979-986 [10.1080/01630560802418128].
On boundary conditions for wedge operators on radial sets
CAPONETTI, Diana;
2008-01-01
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.
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