Oshime, Yorimasa Nonlinear Perron-Frobenius problem for weakly contractive transformations. (English) Zbl 0599.47092 Math. Jap. 29, 681-704 (1984). 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. Cited in 5 Documents MSC: 47J10 Nonlinear spectral theory, nonlinear eigenvalue problems Keywords:nonlinear Perron-Frobenius problem; weakly contractive transformations; existence and distribution of positive-eigen-vectors; convergence of iterative images PDFBibTeX XMLCite \textit{Y. Oshime}, Math. Japon. 29, 681--704 (1984; Zbl 0599.47092)