A New Extragradient Method for Pseudomonotone Variational Inequalities
نویسنده
چکیده
In this paper, we consider and analyze a new extragradient method for solving pseudomonotone variational inequalities. The new method converges for pseudomonotone Lipschitz continuous operators, which is a weaker condition than monotonicity. The new iterative method includes the extragradient method as a special case. Our proof of convergence is very simple as compared with other methods. Mathematics subject classification (2000): 49J40, 90C33.
منابع مشابه
A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities
This paper proposes a new extragradient solution method for strongly pseudomonotone variational inequalities. A detailed analysis of the convergence of the iterative sequences and the range of application of the method is given. Mathematics Subject Classification (2010). 47J20, 49J40, 49M30.
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