Abstract and Applied Analysis

Strong Convergence of an Iterative Algorithm for Hierarchical Problems

Poom Kumam and Thanyarat Jitpeera

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Abstract

We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions. Our results extend those of Yao et al., Iiduka, Ceng et al., and other authors.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 678147, 9 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606562

Digital Object Identifier
doi:10.1155/2014/678147

Mathematical Reviews number (MathSciNet)
MR3246350

Zentralblatt MATH identifier
07022862

Citation

Kumam, Poom; Jitpeera, Thanyarat. Strong Convergence of an Iterative Algorithm for Hierarchical Problems. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 678147, 9 pages. doi:10.1155/2014/678147. https://projecteuclid.org/euclid.aaa/1412606562


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