## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 750473, 8 pages.

### Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities

#### Abstract

We propose synchronal algorithm and cyclic algorithm based on the general iterative method for solving a hierarchical fixed point problem. Under suitable parameters, the iterative sequence converges strongly to a common fixed point of $N$ nonexpansive mappings and also the unique solution of a variational inequality. The results presented in this paper improve and extend the corresponding results reported recently by some authors. Furthermore, a numerical example is given to demonstrate the effectiveness of our iterative schemes.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2013 (2013), Article ID 750473, 8 pages.

**Dates**

First available in Project Euclid: 27 February 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1393512065

**Digital Object Identifier**

doi:10.1155/2013/750473

**Mathematical Reviews number (MathSciNet)**

MR3108656

**Zentralblatt MATH identifier**

07095325

#### Citation

Duan, Peichao. Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities. Abstr. Appl. Anal. 2013 (2013), Article ID 750473, 8 pages. doi:10.1155/2013/750473. https://projecteuclid.org/euclid.aaa/1393512065