NUMERICAL RESULT FOR VARIATIONAL INEQUALITY PROBLEMS WITH EQUALITY CONSTRAINT
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Keywords

Monotone operators
Fréchet differentiable
weakly lower semi-continuous proper convex functional
and regularization.

Abstract

In this paper we present some numerical results for illustrating a theoret- ical results obtained in our investigation in the field of variational inequality problems with constraint in the form of operator equation involving monotone operator.   

 

https://doi.org/10.29037/ajstd.249
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References

Ya.I. Alber (1975), On solving nonlinear equations involving monotone operators in Banach spaces, Sibirskii Math. J., pp. 26, 3-11 (in Russian).

Bakushinsky, A.B. (1976), A regularizing algorithm based on the Newton-kantorovich method for solving variational inequalities, J. of Math. Comp. and Math. Physics, V. 16, N. 6, pp. 1397-1404 (in Russian).

Nguyen Buong and Pham Van Loi (2004), On parameter choice and convergence rates for a class of ill-posed variational inequalities, J. of Math. Comp. and Math. Physics, V. 44, pp. 1735-1744 (in Russian).

Pham Van Loi and Nguyen Buong (2005), About convergence and finite-dimensional approximation for a class of ill-posed variational inequalities, Advances in Natural Sciences, Vol. 6, No. 4, pp. 321-328.

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