Strong convergence theorems based on a new modified extragradient method for variational inequality problems and fixed point problems in Banach spaces ?
In this paper, we introduce a new iterative algorithm by a modified extragradient method for finding a common element of the set of solutions of a general variational inequality and the set of common fixed points of an infinite family of ki k i -strict pseudocontractions in a Banach space. We obtain some strong convergence theorems under suitable conditions. The results obtained in this paper improve and extend the recent ones announced by many others.
strong convergence fixed point general variational inequality strict pseudocontraction