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On variational inequalities for monotone operators. I. (English) Zbl 0407.49008


MSC:

49J40 Variational inequalities
47H05 Monotone operators and generalizations
Full Text: DOI

References:

[1] Brézis, H.; Nirenberg, L.; Stampacchia, G., A remark on Ky Fan’s minimax theorem, Boll. Un. Mat. Ital., 6, 293-300 (1972) · Zbl 0264.49013
[2] Debrunner, H.; Flor, P., Ein Erweiterungssatz für monotone Mengen, Arch. Math., 15, 445-447 (1964) · Zbl 0129.09203
[3] Dolph, C. L.; Minty, G. J., On nonlinear integral equations of the Hammerstein type, (Anselone, P., Nonlinear Integral Equations (1964), Univ. of Wisconsin Press: Univ. of Wisconsin Press Madison, Wisc) · Zbl 0123.29603
[4] Minty, G. J., On the símultaneous solution of a certain system of linear inequalities, (Proc. Amer. Math. Soc., 13 (1962)), 11-12 · Zbl 0105.30901
[5] Minty, G. J., On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions, Bull. Amer. Math. Soc., 76, 334-339 (1970) · Zbl 0191.34603
[6] Vainberg, M. M., Variational Method and Method of Monotone Operators (1973), Wiley: Wiley New York, Russian edition Izd-vo “Nauka” (1972) · Zbl 0279.47022
[7] Valentine, F. A., A Lipschitz preserving extension for a vector function, Amer. J. Math., 67, 83-93 (1945) · Zbl 0061.37507
[8] Valentine, F. A., Convex Sets (1964), McGraw-Hill: McGraw-Hill New York · Zbl 0129.37203
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