Abstract and Applied Analysis

An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space

Xueyong Wang, Shengjie Li, and Xipeng Kou

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Abstract

An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 531912, 7 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450471

Digital Object Identifier
doi:10.1155/2013/531912

Mathematical Reviews number (MathSciNet)
MR3035274

Zentralblatt MATH identifier
1272.49020

Citation

Wang, Xueyong; Li, Shengjie; Kou, Xipeng. An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 531912, 7 pages. doi:10.1155/2013/531912. https://projecteuclid.org/euclid.aaa/1393450471


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