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Zeros of accretive operators. (English) Zbl 0288.47047

##### MSC:
 47H05 Monotone operators (with respect to duality) and generalizations 34G99 ODE in abstract spaces 47H10 Fixed point theorems for nonlinear operators on topological linear spaces 47J05 Equations involving nonlinear operators (general)
##### References:
 [1] BROWDER, F.: Nonlinear accretive operators in Banach spaces. Bull. Amer. Math. Soc.73, 470-776 (1967) · Zbl 0159.19905 · doi:10.1090/S0002-9904-1967-11786-5 [2] ?: Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces. Bull. Amer. Math. Soc.73, 867-874 (1967) · Zbl 0176.45301 · doi:10.1090/S0002-9904-1967-11820-2 [3] ?: Nonlinear mappings of nonexpansive and accretive type in Banach spaces. Bull. Amer. Math. Soc.73, 875-882 (1967) · Zbl 0176.45302 · doi:10.1090/S0002-9904-1967-11823-8 [4] GATICA, J.; KIRK, W.: Fixed point theorems for Lipschitzian pseudo-contractive mappings. Proc. Amer. Math. Soc.36, 111-115 (1972) · doi:10.1090/S0002-9939-1972-0306993-8 [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 · doi:10.1016/0022-0396(71)90097-0 [6] MARTIN, R.H.: Differential equations on closed subsets of a Banach space. Trans. Amer. Math. Soc.179, 399-414 (1973) · doi:10.1090/S0002-9947-1973-0318991-4 [7] PETRYSHYN, W.V.: Projection methods in nonlinear numerical functional analysis. J. Math. Mech.17, 353-372 (1967) [8] REICH, S.: Remarks on fixed points. Atti Accad. Lincei52, 689-697 (1972) [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)