STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES
Jae Ug Jeong · Korean Journal of Mathematics · 2012
In this paper, we introduce a new iterative scheme to investigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequalities for a $k$ -strict pseudo-contraction by relaxed extra-gradient methods. Strong convergence theorems are established in $q$ -uniformly smooth Banach spaces.