Constrained equilibrium point of maximal monotone operator via variational inequality

• Autorzy: Przeworski M. , Zagrodny D.
• Języki publikacji: EN

Abstrakty

EN

Herein a sufficient condition for q to belong to Q∩T-1(0) is provided, where Q is a weakly compact convex subset of a real reflexive Banach space E and T : E→→E* is a maximal monotone operator.

Słowa kluczowe

EN

maximal monotonicity; equilibrium point

PL

monotoniczność maksymalna; punkt równowagi

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1999
• Tom: Vol. 5, nr 1
• Strony: 147--152
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Przeworski M.

• Institute of Mathematics Technical University of Radom Malczewskiego 20a 26-600 Radom, Poland

autor

Zagrodny D.

• Institute of Mathematics Technical University of Łódź Żwirki 36 90-924 Łódź, Poland

Bibliografia

• [1] Aubin, J.-P. and Frankowska, H., Set-Valued Analysis , Birkhauser, Boston, 1990.
• [2] Clarke, F.H., Optimization and Nonsmooth Analysis, Jonh Wiley, New York, 1983.
• [3] Simons, S., Subtangents with controlled slope, Nonlinear Anal. 22 (1994), 1373- 1389.
• [4] Simons, S., Swimming below icebergs, Set-Valued Anal. 2 (1994), 327-337.
• [5] Simons, S., Minimax and Monotonicity, Lecture Notes in Math. 1693, Springer-Verlag, New York, 1998.
• [6] Zagrodny, D., The maximal monotonicity of the subdifferentials of convex functions: Simons’ problem, Set-Valued Anal. 4 (1996), 301-314.
• [7] Zeidler, E., Nonlinear Functional Analysis and Its Applications II: Monotone Operators, Springer-Verlag, New York, Berlin, 1986.