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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Nonlinear accretive operators in Banach spaces

Author(s): Felix E. Browder
Journal: Bull. Amer. Math. Soc. 73 (1967), 470-476.
MathSciNet review: 0212626
Retrieve article in: PDF

References | Additional information

References:

1.
F. E. Browder, Existence and uniqueness theorems for solutions of nonlinear boundary value problems, Proc. Sympos. Appl. Math., Vol. 17, Amer. Math. Soc., Providence, R. I., 1965, pp. 24-29. MR 197933
2.
F. E. Browder, Problèmes nonlinéaires, Univ. of Montreal Press, Montreal, 1966, 129 pp. MR 250140
3.
F. E. Browder, Fixed point theorems for nonlinear semicontractive mappings in Banach spaces, Arch. Rational Mech. Anal. 21 (1966), 259-269. MR 200753
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F. E. Browder, Convergence of approximants to fixed points of nonexpansive mappings in Banach spaces, Arch Rational Mech. Anal. 24 (1967), 82-90. MR 206765
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F. E. Browder, On the unification of the calculus of variations and the theory of monotone nonlinear operators in Banach spaces, Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 419-425. MR 203533
6.
F. E. Browder, Existence and approximation of solutions of nonlinear variational inequalities Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 1080-1086. MR 203534
7.
F. E. Browder, Nonlinear equations of evolution and the method of steepest descent in Banach spaces, (to appear).
8.
F. E. Browder and D. G. de Figueiredo, J-monotone nonlinear mappings in Banach spaces, Kon. Nederl. Akad. Wetesch. 69 (1966), 412-420.
9.
P. Hartman, Generalized Lyapounov functions and nonlinear functional equations, Ann. Mat. Pura Appl. 69 (1965), 303-320. MR 192370
10 G. Lumer and R. S. Phillips, Dissipative operators in Banach spaces, Pacific J. Math. 11 (1961), 679-698. MR 132403

11.
Ja. D. Mamedov, One-sided estimates in the conditions for asymptotic stability of solutions of differential equations with unbounded operators, Dokl. Akad. Nauk SSSR, 166 (1966), 533-535 = Soviet Math. Dokl. 7 (1966), 110. MR 192159
12.
G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341-346. MR 169064
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H. Murakami, On nonlinear ordinary and evolution equations, Univ. of Kansas Technical Report No. 9, June 1966. MR 209617
14.
W. V. Petryshyn, Projection methods in nonlinear numerical functional analysis, (to appear). MR 218941
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M. M. Vainberg, On the convergence of the process of steepest descent for non-linear equations, Sibirsk, Mat. J. 2 (1961), 201-220. MR 126732


Additional Information:

DOI: 10.1090/S0002-9904-1967-11786-5
PII: S 0002-9904(1967)11786-5




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