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Browder, F. E.

Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces. (English) Zbl 0176.45301

Bull. Am. Math. Soc. 73, 867-874 (1967).
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Keywords:

functional analysis
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\textit{F. E. Browder}, Bull. Am. Math. Soc. 73, 867--874 (1967; Zbl 0176.45301)
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References:

[1] Felix E. Browder, Non-linear equations of evolution, Ann. of Math. (2) 80 (1964), 485 – 523. · Zbl 0127.33602
[2] Felix E. Browder, Problèmes nonlinéaires, Séminaire de Mathématiques Supérieures, No. 15 (Été, 1965), Les Presses de l’Université de Montréal, Montreal, Que., 1966 (French).
[3] Felix E. Browder, Existence of periodic solutions for nonlinear equations of evolution, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1100 – 1103. · Zbl 0135.17601
[4] Felix E. Browder, Fixed-point theorems for noncompact mappings in Hilbert space, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1272 – 1276. · Zbl 0125.35801
[5] Felix E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041 – 1044. · Zbl 0128.35801
[6] Felix E. Browder, Fixed point theorems for nonlinear semicontractive mappings in Banach spaces, Arch. Rational Mech. Anal. 21 (1966), 259 – 269. · Zbl 0144.39101
[7] Felix E. Browder, Nonlinear accretive operators in Banach spaces, Bull. Amer. Math. Soc. 73 (1967), 470 – 476. · Zbl 0159.19905
[8] F. E. Browder, Nonlinear equations of evolution and the method of steepest descent in Banach spaces (to appear).
[9] F. E. Browder and D. G. de Figueiredo, J-monotone nonlinear mappings in Banach spaces, Nederl. Akad. Wetensch. 69 (1966), 412-420. · Zbl 0148.13602
[10] Dietrich Göhde, Zum Prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1965), 251 – 258 (German). · Zbl 0127.08005
[11] Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. · Zbl 0078.10004
[12] Tosio Kato, Nonlinear evolution equations in Banach spaces, Proc. Sympos. Appl. Math., Vol. XVII, Amer. Math. Soc., Providence, R.I., 1965, pp. 50 – 67.
[13] Tosio Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508 – 520. · Zbl 0163.38303
[14] W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004 – 1006. · Zbl 0141.32402
[15] Y. Komura, Nonlinear semigroups in Hilbert space (to appear). · Zbl 0163.38302
[16] G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math. 11 (1961), 679 – 698. · Zbl 0101.09503
[17] Haruo Murakami, On non-linear ordinary and evolution equations, Funkcial. Ekvac. 9 (1966), 151 – 162. · Zbl 0173.43503
[18] M. M. Vaĭnberg, On the convergence of the process of steepest descent for nonlinear equations, Sibirsk. Mat. Ž. 2 (1961), 201 – 220 (Russian). · Zbl 0206.14201
[19] K. Yosida, Functional analysis, Springer, Berlin, 1965. · Zbl 0126.11504
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