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On the solvability of nonlinear operator equations in normed spaces. (English) Zbl 0456.47051

MSC:
47J05 Equations involving nonlinear operators (general)
47J25 Iterative procedures involving nonlinear operators
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[1] H.Brezis - L.Nirenberg,Characterization of the range of some nonlinear operators and applications to boundary value problems, Annali Scuola Normale Sup. Pisa, to appear. · Zbl 0386.47035
[2] M.Furi - M.Martelli - A.Vignoli,Contributions to the spectral theory for nonlinear operators in Banach spaces, to appear in Ann. di Mat. pura e appl. · Zbl 0409.47043
[3] R. E.Gaines - J. L.Mawhin,Coincidence degree, and nonlinear differential equations, Lecture Notes in Math. 568, Springer-Verlag, 1977. · Zbl 0339.47031
[4] Granas, A., The theory of compact vector fields and some applications to the theory of functional spaces (1962), Warszawa: Rozprawy Matematyczne, Warszawa · Zbl 0111.11001
[5] Mawhin, J. L., Equivalence theorems for nonlinear operator equations and coincidence degree for some mappings in locally convex topological vector spaces, J. Diff. Eq., 12, 610-636 (1972) · Zbl 0244.47049
[6] Minty, G. J., Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29, 341-346 (1962) · Zbl 0111.31202
[7] Schmitt, K.; Gustafson, G., Non zero solutions of boundary value problems for damped nonlinear differential systems, Diff. Eq., 30, 227-241 (1976)
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