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Volume 3, Issue 5, Article 67 |
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Operator-Splitting Methods for General Mixed Variational Inequalities
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Authors: |
Muhammad Aslam Noor, |
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Keywords:
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Variational inequalities, Iterative methods, Fixed points, Resolvent operator, Convergence. |
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Date Received:
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02/06/02 |
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Date Accepted:
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13/06/02 |
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Subject Codes: |
49J40,90C33.
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
In this paper, we use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our method includes the two-step forward-backward splitting and extragradient methods for solving various classes of variational inequalities and complementarity problems as special cases.
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