Minimum-norm solution of variational inequality and fixed point problem in banach spaces
Habtu Zegeye, Naseer Shahzad, Yonghong Yao · Optimization · 2013
We introduce an iterative process which converges strongly to a common minimum-norm solution of a variational inequality problem for an-inverse strongly monotone mapping and a fixed point of relatively non-expansive mapping in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.