General convergence analysis of projection methods for a system of variational inequalities in q-uniformly smooth Banach spaces
Gong Qian-fen, Dao-Jun Wen · Journal of Inequalities and Applications · 2013
In this paper, we introduce and consider a system of variational inequalities involving two different operators in q -uniformly smooth Banach spaces. We suggest and analyze a new explicit projection method for solving the system under some more general conditions. Our results extend and unify the results of Verma (Appl. Math. Lett. 18:1286-1292, 2005) and Yao, Liou and Kang (J. Glob. Optim., 2011, doi:10.1007/s10898-011-9804-0) and some other previously known results. MSC: 47H05, 47H10, 47J25.