A hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities

作者：Fan, Bin^*

来源：Numerical Algorithms, 2015, 70(3): 451-467.

DOI：10.1007/s11075-014-9956-3

• Nonexpansive mapping
• Averaged mapping
• Hierarchical fixed point
• Variational inequalities
• Strong convergence
• Numerical results

In this paper, we introduce a hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities. Under suitable assumptions, strong convergence theorems have been proved in the framework of a Hilbert space. The results here improve and extend some recent corresponding results in the current literature. In addition, numerical results indicate that the proposed method is quite effective.

• 出版日期2015-11
• 单位福建师范大学