Strong Convergence of an Iterative Algorithm for Hierarchical Problems-Reference-Cited by-同舟云学术

Strong Convergence of an Iterative Algorithm for Hierarchical Problems

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kumam Poom¹,Jitpeera Thanyarat²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bang Mod, Thung Khru, Bangkok 10140, Thailand

2. Department of Mathematics, Faculty of Science and Agriculture, Rajamangala University of Technology Lanna, Phan, Chiangrai 57120, Thailand

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.

Funder

King Mongkut’s University of Technology Thonburi

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/678147.pdf

Reference25 articles.

1. On some non-linear elliptic differential-functional equations

2. A Fixed Point Theorem for Mappings which do not Increase Distances

3. A block-iterative surrogate constraint splitting method for quadratic signal recovery

4. Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

5. Iterative selection methods for common fixed point problems

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