Proximal algorithms for solving mixed bifunction variational inequalities

Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab, Eisa Al-Said · International Journal of the Physical Sciences · 2011

In this paper, we suggest and analyze some proximal methods for solving mixed bifunction variational inequalities using the auxiliary principle technique. Convergence of these methods is considered under some mild suitable conditions on the bifunction and the operators. Several cases are also discussed. Results in this paper include some new and known results as special cases. Key words: Bifunction, variational inequality, auxiliary principle technique, proximal point algorithms, convergence.

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