Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities

الملخص EN

This paper deals with a modified iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings.

Some strong convergence theorems for the proposed method are presented under certain approximate assumptions of mappings and parameters.

As a special case, this projection method solves some quadratic minimization problem.

It should be noted that the proposed method can be regarded as a generalized version of Wang and Xu (2013), Ceng et al.

(2011), Sahu et al.

(2012), and many other authors.