## Abstract and Applied Analysis

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

Peichao Duan

#### 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

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

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