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Nonlinear Perron-Frobenius problem for weakly contractive transformations. (English) Zbl 0599.47092

We are concerned with non-decreasing maps from \(R_+^ n\) into itself. The existence and the distribution of their positive eigen-vectors are investigated under some additional conditions. The convergence of iterative images of such maps is also considered.

MSC:

47J10 Nonlinear spectral theory, nonlinear eigenvalue problems
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