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Kazmi, K. R.; Khan, F. A.

Auxiliary problems and algorithm for a system of generalized variational-like inequality problems. (English) Zbl 1128.65047

Appl. Math. Comput. 187, No. 2, 789-796 (2007).
The authors consider a system of generalized variational-like inequality problems involving nondifferentiable terms, and its related auxiliary problems in real Hilbert spaces. An existence theorem for auxiliary problems is established. An algorithm for the system of generalized variational-like inequality problems is constructed and its convergence is discussed. The techniques and results presented in this paper generalize and unify many known corresponding techniques and results. The paper will be useful as the results may be applicable to some other cases of interest.
Reviewer: Akrur Behera (Rourkela)

Cited in 1 Review
Cited in 11 Documents

MSC:

65K10 Numerical optimization and variational techniques
49M37 Numerical methods based on nonlinear programming
49J40 Variational inequalities

Keywords:

generalized variational inequality problems; lower and upper semicontinuity; Hilbert spaces; algorithm; convergence
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References:

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