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2013 Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems
L. C. Ceng, A. Petruşel, J. C. Yao
Abstr. Appl. Anal. 2013: 1-25 (2013). DOI: 10.1155/2013/891232

Abstract

We suggest and analyze relaxed extragradient iterative algorithms with regularization for finding a common element of the solution set of a general system of variational inequalities, the solution set of a split feasibility problem, and the fixed point set of a strictly pseudocontractive mapping defined on a real Hilbert space. Here the relaxed extragradient methods with regularization are based on the well-known successive approximation method, extragradient method, viscosity approximation method, regularization method, and so on. Strong convergence of the proposed algorithms under some mild conditions is established. Our results represent the supplementation, improvement, extension, and development of the corresponding results in the very recent literature.

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L. C. Ceng. A. Petruşel. J. C. Yao. "Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems." Abstr. Appl. Anal. 2013 1 - 25, 2013. https://doi.org/10.1155/2013/891232

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1272.49061
MathSciNet: MR3035305
Digital Object Identifier: 10.1155/2013/891232

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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