A Projection-Type Method for Multivalued Variational Inequality

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A New Projection Method for Variational Inequality Problems∗

We propose a new projection algorithm for solving the variational inequality problem, where the underlying function is continuous and satisfies a certain generalized monotonicity assumption (e.g., it can be pseudomonotone). The method is simple and admits a nice geometric interpretation. It consists of two steps. First, we construct an appropriate hyperplane which strictly separates the current...

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A New Projection-type Alternating Direction Method for Monotone Variational Inequality Problems

In this paper, we design a new projection-type alternating direction method which is an attractive method for solving variational inequality problems, and its application range covers linear programming, semidefinite programming etc. In each iteration, it just solves a linear equation and implements three orthogonal projections to closed convex sets. Under the conditions of monotonicity and Lip...

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ژورنال

عنوان ژورنال: Abstract and Applied Analysis

سال: 2013

ISSN: 1085-3375,1687-0409

DOI: 10.1155/2013/836720