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Noor, Muhammad Aslam; Noor, Khalida Inayat

Proximal point methods for solving mixed variational inequalities on the Hadamard manifolds. (English) Zbl 1244.49019

J. Appl. Math. 2012, Article ID 657278, 8 p. (2012).
Summary: We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered. Results can be viewed as refinement and improvement of previously known results.

Cited in 3 Documents

MSC:

49J40 Variational inequalities

Keywords:

mixed variational inequalities; proximal point methods; Hadamard manifolds
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\textit{M. A. Noor} and \textit{K. I. Noor}, J. Appl. Math. 2012, Article ID 657278, 8 p. (2012; Zbl 1244.49019)
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References:

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