An iterative algorithm for finding a common solution of fixed points and a general system of variational inequalities for two inverse strongly accretive operators
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Publication Details
Author list: Katchang P., Kumam P.
Publication year: 2011
Volume number: 15
Issue number: 2
Start page: 281
End page: 295
Number of pages: 15
ISSN: 1385-1292
eISSN: 1385-1292
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce an iterative scheme based on a viscosity approximation method with a modified extragradient method for finding a common solutions of a general system of variational inequalities for two inverse-strongly accretive operator and solutions of fixed point problems involving the nonexpansive mapping in Banach spaces. Consequently, we obtain new strong convergence theorems in the frame work of Banach spaces. Our results extend and improve the recent results of Qin et al. (J Comput Appl Math 233:231-240, 2009) and many others. ฉ 2010 Springer Basel AG.
Keywords
Inverse-strongly accretive, Viscosity approximation