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Viscosity method for hierarchical fixed point approach to variational inequalities. (English) Zbl 1215.47099
The author presents a viscosity method for a hierarchical fixed point approach to variational inequality problems. The method is applied to variational inequalities where the involved operators are complements of nonexpansive mappings and the solutions are sought in the set of fixed points of another nonexpansive mapping.
MSC:
47J25Iterative procedures (nonlinear operator equations)
47H09Mappings defined by “shrinking” properties
47J20Inequalities involving nonlinear operators
47H10Fixed point theorems for nonlinear operators on topological linear spaces