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.
CAPONETTI D, TROMBETTA A, TROMBETTA G (2008). A note on boundary conditions for nonlinear operators. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 39(5), 423-433.
A note on boundary conditions for nonlinear operators
CAPONETTI, Diana;
2008-01-01
Abstract
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.
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