Iterative convergence of variational inequalities and non-expansive mappings
Gong Qian-fen · Journal of Chongqing Technology and Business University · 2009
A class of variational inequalities including non-expansive mappings and Wiener-Hopf equation are introduced,based on projection technique,the equivalence relation between the two is deduced.On the basis of this equivalence relation,an iterative algorithm for synchronously solving non-expansive mappings' fixed points and variational inequalities is proposed.Under the proper condition,the strong convergence of this iterative algorithm is proven,and the corresponding conclusions generalize some new results in this field.