A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity
Zhongbao Wang, Zhang-you Chen, Yi‐bin Xiao, Cong Zhang · Applicable Analysis · 2018
In this paper, a new projection-type algorithm for solving multi-valued mixed variational inequalities without monotonicity is presented. Under some suitable assumptions, it is showed that the sequence generated by the proposed algorithm converges globally to a solution of the multi-valued mixed variational inequality considered. The algorithm exploited in this paper is based on the generalized f -projection operator due to Wu and Huang [The generalized f-projection operator with an application. Bull Austral Math Soc. 2006;73:307–317] rather than the well-known resolvent operator. Preliminary computational experience is also reported. The results presented in this paper generalize and improve some known results given in the literature.