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References
Browder, F. E.: Problèmes nonlinéaires. University of Montreal Press 1966.
——, and D. G. De Figueiredo:J-monotone nonlinear operators in Banach spaces. Kon. Nederl. Akad. Wetensch.69, 412–420 (1966).
Kato, T.: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan.19, 508–519 (1967).
Lees, M., and M. H. Schultz: A Leray-Schauder principle forA-compact mappings and the numerical solution of nonlinear two-point boundary value problems. Numerical solutions of Nonlinear Differential Equations, p. 167–179. New York: John Wiley and Sons. Inc. 1966.
Leray, J., and J. Schauder: Topologie et équations fonctionelles. Ann. Sci. Norm. Sup.51, 45–78 (1934).
Petryshyn, W. V.: On nonlinearP-compact operators in Banach spaces with applications to constructive fixed point theorems. J. Math. Anal. Appl.15, 228–242 (1966).
Webb, J. R. L.: Some mapping and fixed point theorems for a class of nonlinear operators (to appear in Proc. Lond. Math. Soc.)
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Edmunds, D.E., Webb, J.R.L. A Leray-Schauder theorem for a class of nonlinear operators. Math. Ann. 182, 207–212 (1969). https://doi.org/10.1007/BF01350323
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DOI: https://doi.org/10.1007/BF01350323