Open Access
2012 COUPLING EXTRA-GRADIENT METHODS WITH KM’S METHODS FOR VARIATIONAL INEQUALITIES AND FIXED POINTS
Yonghong Yao, Yeong-Cheng Liou, Pei-Xia Yang
Taiwanese J. Math. 16(4): 1329-1343 (2012). DOI: 10.11650/twjm/1500406737

Abstract

In this paper, we suggest and analyze a new method which couple extra-gradient methods with KM's methods for solving some variational inequality problem and fixed points problem. It is shown that the proposed method has strong convergence in a general Hilbert space.

Citation

Download Citation

Yonghong Yao. Yeong-Cheng Liou. Pei-Xia Yang. "COUPLING EXTRA-GRADIENT METHODS WITH KM’S METHODS FOR VARIATIONAL INEQUALITIES AND FIXED POINTS." Taiwanese J. Math. 16 (4) 1329 - 1343, 2012. https://doi.org/10.11650/twjm/1500406737

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 06137971
MathSciNet: MR2951141
Digital Object Identifier: 10.11650/twjm/1500406737

Subjects:
Primary: 47H05 , 47J05 , 47J25

Keywords: extra-gradient method , fixed point , inverse-strongly monotone mapping , KM's method , non-expansive mapping , variational inequality

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 4 • 2012
Back to Top