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Remarks on the Belitskii-Lyubich and discrete Markus-Yamabe conjectures

Sart Frédéric

Journal of Applied Analysis

2023

Vol. 29, nr 1

99--103

In this paperwe prove the Belitskii-Lyubich conjecture for triangular and gradientmappings. These results resemble those obtained for the discrete Markus-Yamabe conjecture. However, the proofs are quite different,which sheds new light on the subject.We complete the picture by showing that the general versions of the two conjectures can be turned into theorems at little cost, simply by relaxing their spectral condition.