Affiliation:
1. Department of Mathematics Electric Power University Hanoi Vietnam
2. Department of Scientific Fundamentals Posts and Telecommunications Institute of Technology Hanoi Vietnam
3. Department of Mathematics Hai Phong University Haiphong Vietnam
Abstract
In this work, we analyze some convergent properties of a projection and contraction algorithm for solving a variational inequality problem, where the feasible domain is the solution set of an affine variational inequality problem. We prove that, for solving the problem where the second cost mapping is affine and not necessary for monotone properties, any iterative sequence generated by the algorithm converges to a unique solution provided that the first cost mapping is strongly monotone and Lipschitz continuous. Computational errors of the algorithm are showed. Finally, some preliminary numerical experiences and comparisons are also reported.
Subject
General Engineering,General Mathematics
Cited by
1 articles.
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