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Noor, Muhammad Aslam; Noor, Khalida Inayat; Huang, Zhenyu; Al-Said, Eisa

Implicit schemes for solving extended general nonconvex variational inequalities. (English) Zbl 1235.65069

J. Appl. Math. 2012, Article ID 646259, 10 p. (2012).
Summary: We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique. We show that the convergence of these iterative methods requires only the \(gh\)-pseudomonotonicity, which is a weaker condition than \(gh\)-monotonicity. We also discuss several special cases. Our method of proof is very simple as compared with other techniques.

Cited in 8 Documents

MSC:

65K05 Numerical mathematical programming methods
49J40 Variational inequalities
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\textit{M. A. Noor} et al., J. Appl. Math. 2012, Article ID 646259, 10 p. (2012; Zbl 1235.65069)
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References:

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