Summary
The main purpose of this paper is to find the conditions under which an lipschitz mapping, defined in a Banach space, admits eigenvectors. We then apply the obtained results to some surjectivity problems proving theorems which contain, as particular cases, the well known theorems of Rothe, Krasnoselskij and Schaefer.
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Work performed under the auspices of the National Research Council of Italy (C.N.R.).
Entrata in Redazione il 5 novembre 1971.
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Martelli, M., Vignoli, A. Eigenvectors and surjectivity for α-lipschitz mappings in banach spaces. Annali di Matematica 94, 1–9 (1972). https://doi.org/10.1007/BF02413598
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DOI: https://doi.org/10.1007/BF02413598