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Nevanlinna, Olavi

Global iteration schemes for monotone operators. (English) Zbl 0439.47043

Nonlinear Anal., Theory Methods Appl. 3, 505-514 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0439.47043

Cited in 11 Documents

MSC:

47H05 Monotone operators and generalizations
47J25 Iterative procedures involving nonlinear operators
90C25 Convex programming

Keywords:

iteration methods; global convergence; monotone operators; convex programming
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References:

[1] Brezis, H., Operateurs Maximaux Monotones et Semigroupes de Contractions dans les Espaces de Hilbert (1973), North-Holland Publishing Co: North-Holland Publishing Co Amsterdam · Zbl 0252.47055
[2] Bruck, R. E., The iterative solution of the equation \(y\) ϵ \(x + Tx\) for a monotone operator \(T\) in Hilbert space, Bull. Am. math. Soc., 79, 1258-1261 (1973) · Zbl 0275.47033
[3] Bruck, R. E., A strongly convergent iterative solution of the equation 0ϵ \(U(x)\) for a maximal monotone operator \(U\) in a Hilbert space, J. Math. Anal. Appl., 48, 114-126 (1974) · Zbl 0288.47048
[4] Crandall, M. G.; Pazy, A., On the range of accretive operators, Israel J. Math., 27, 235-246 (1977) · Zbl 0355.47039
[5] Halpern, B., Fixed points of nonexpanding maps, Bull. Am. Math. Soc., 73, 957-961 (1967) · Zbl 0177.19101
[6] Nevanlinna, O.; Reich, S., Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces, MRC Report# 1856 (1978), (To appear in Israel J. Math.)
[7] Reich, S., Constructing zeros of accretive operators, Appl. Anal.; Reich, S., Constructing zeros of accretive operators, Appl. Anal. · Zbl 0408.47048
[8] Zarantonello, E. H., Solving functional equations by contractive averaging, MRC Report#, 160 (1960)
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