zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces. (English) Zbl 0427.47049

47H20Semigroups of nonlinear operators
Full Text: DOI
[1] J. B. Baillon, R. E. Bruck and S. Reich,On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces, Houston J. Math., to appear. · Zbl 0396.47033
[2] H. Brezis,Monotonicity methods in Hilbert space and some applications to nonlinear partial differential equations, inContributions to Nonlinear Functional Analysis (E. H. Zarantonello, ed.), Academic Press, New York, 1971, pp. 101--156.
[3] H. Brezis,Opérateurs Maximaux Monotones et Semigroupes de Contractions dans les Espaces de Hilbert, North-Holland Publishing Co., Amsterdam, 1973.
[4] H. Brezis and P. L. Lions, Produits infinis de résolvantes, Israel J. Math.29 (1978), 329--345. · Zbl 0387.47038 · doi:10.1007/BF02761171
[5] F. E. Browder,Nonlinear accretive operators in Banach spaces, Bull. Amer. Math. Soc.73 (1967), 470--476. · Zbl 0159.19905 · doi:10.1090/S0002-9904-1967-11786-5
[6] R. E. Bruck,The iterative solution of the equation y x+Tx for a monotone operator T in Hilbert space, Bull. Amer. Math. Soc.79 (1973), 1258--1261. · Zbl 0275.47033 · doi:10.1090/S0002-9904-1973-13404-4
[7] R. E. Bruck,A strongly convergent iterative solution of the equation 0 U (x) for a maximal monotone operator U in Hilbert space J. Math. Anal. Appl.48 (1974), 114--126. · Zbl 0288.47048 · doi:10.1016/0022-247X(74)90219-4
[8] R. E. Bruck and S. Reich,Nonexpansive projections and resolvents of accretive operators in Banach spaces, Houston J. Math.3 (1977), 459--470. · Zbl 0383.47035
[9] M. D. Canon and C. D. Cullum,A tight upper bound on the rate of convergence of the Frank-Wolfe algorithm, SIAM J. Control6 (1968), 509--516. · Zbl 0186.24002 · doi:10.1137/0306032
[10] M. G. Crandall and T. M. Liggett,Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math.93 (1971), 265--298. · Zbl 0226.47038 · doi:10.2307/2373376
[11] M. G. Crandall and A. Pazy,On the range of accretive operators, Israel J. Math.27 (1977), 235--246. · Zbl 0355.47039 · doi:10.1007/BF02756485
[12] J. C. Dunn,Iterative construction of fixed points for multivalued operators of the monotone type, J. Functional Analysis27 (1978), 38--50. · Zbl 0422.47033 · doi:10.1016/0022-1236(78)90018-6
[13] A. Pazy,On the asymptotic behavior of semigroups of nonlinear contractions in Hilbert space, J. Functional Analysis27 (1978), 292--307. · Zbl 0377.47045 · doi:10.1016/0022-1236(78)90010-1
[14] A. Pazy,Strong convergence of semigroups of nonlinear contractions in Hilbert space, MRC Report # 1828, 1978. · Zbl 0399.47057
[15] S. Reich,An iterative procedure for constructing zeros of accretive sets in Banach spaces, Nonlinear Analysis2 (1978), 85--92. · Zbl 0375.47032 · doi:10.1016/0362-546X(78)90044-5
[16] S. Reich,Iterative methods for accretive sets, Proc. Conf. on Nonlinear Equations, Academic Press, to appear. · Zbl 0495.47034
[17] S. Reich.Weak convergence theorems for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl., to appear. · Zbl 0423.47026
[18] R. T. Rockafellar,Monotone operators and the proximal point algorithm, SIAM J. Control and Optimization14 (1976), 877--898. · Zbl 0358.90053 · doi:10.1137/0314056
[19] I. Singer,Best Approximation in Normed Linear Spaces, Springer, Berlin, 1970. · Zbl 0197.38601