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Zeros of accretive operators. (English) Zbl 0288.47047

MSC:
47H05 Monotone operators and generalizations
34G99 Differential equations in abstract spaces
47H10 Fixed-point theorems
47J05 Equations involving nonlinear operators (general)
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References:
[1] BROWDER, F.: Nonlinear accretive operators in Banach spaces. Bull. Amer. Math. Soc.73, 470-776 (1967) · Zbl 0159.19905
[2] ?: Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces. Bull. Amer. Math. Soc.73, 867-874 (1967) · Zbl 0176.45301
[3] ?: Nonlinear mappings of nonexpansive and accretive type in Banach spaces. Bull. Amer. Math. Soc.73, 875-882 (1967) · Zbl 0176.45302
[4] GATICA, J.; KIRK, W.: Fixed point theorems for Lipschitzian pseudo-contractive mappings. Proc. Amer. Math. Soc.36, 111-115 (1972) · Zbl 0254.47076
[5] LASOTA, A.; YORKE, J.A.: Bounds for periodic solutions of differential equations in Banach spaces. J. Diff. Eq.10, 83-91 (1971) · Zbl 0261.34035
[6] MARTIN, R.H.: Differential equations on closed subsets of a Banach space. Trans. Amer. Math. Soc.179, 399-414 (1973) · Zbl 0293.34092
[7] PETRYSHYN, W.V.: Projection methods in nonlinear numerical functional analysis. J. Math. Mech.17, 353-372 (1967) · Zbl 0162.20202
[8] REICH, S.: Remarks on fixed points. Atti Accad. Lincei52, 689-697 (1972) · Zbl 0256.47043
[9] VIDOSSICH, G.: How to get zeros of monotone and accretive operators using the theory of ordinary differential equations. Actas Sem. Anal. Func. Sao Paulo (to appear)
[10] -:Non-existence of periodic solutions and applications to zeros of nonlinear operators (preprint)
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