A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point ProblemReport as inadecuate




A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem - Download this document for free, or read online. Document in PDF available to download.

Abstract and Applied AnalysisVolume 2013 2013, Article ID 737590, 19 pages

Research Article

School of Management Science and Engineering, Nanjing University, Nanjing 210093, China

Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco

Department of Mathematics, Statistics and Physics College of Arts and Sciences, Qatar University, P.O. Box 2713, Doha, Qatar

Received 31 August 2013; Accepted 4 October 2013

Academic Editor: Erdal Karapınar

Copyright © 2013 Abdellah Bnouhachem and Abdelouahed Hamdi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We suggest and analyze an iterative scheme for findingthe approximate element of the common set of solutions of a system of variationalinequalities, a mixed equilibrium problem, and a hierarchical fixed point problem in areal Hilbert space. Strong convergence of the proposed method is proved under someconditions. The results presented in this paper extend and improve some well-knownresults in the literature.





Author: Abdellah Bnouhachem and Abdelouahed Hamdi

Source: https://www.hindawi.com/



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