Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds

被引：2

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

RIEMANNIAN-MANIFOLDS; EQUILIBRIUM PROBLEMS; ALGORITHM;

D O I：

10.1155/2012/657278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：8

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