Iteration algorithms for nonexpansive mappings and generalized variational inequality
Gao Leif · Journal of Liaoning Technical University · 2014
For nonexpansive mapping fixed point problems and Hilbert space generalized variational inequality problems, this paper constructed a more general iterative process by using of the viscous approximation algorithm. When the parameters satisfied with certain conditions, this iterative algorithm can be used to obtain non-expansion mapping fixed point set with Hilbert space generalized variational inequality common elements. The result of study shows that the result obtained from the iterative sequence satisfies certain variational inequalities. The strong convergence proved the rationality and effectiveness of the constructed iterative algorithm under the mild conditions.