Convergence of iterative algorithm for finding common solution of fixed points and general system of variational inequalities for two accretive operators
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Author list: Katchang P., Kumam P.
Publication year: 2011
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 9
Issue number: 2
Start page: 343
End page: 360
Number of pages: 18
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
Abstract
In this paper, we prove a strong convergence theorem for finding a common solutions of a general system of variational inequalities involving two different inverse-strongly accretive operators and solutions of fixed point problems involving the nenexpansive mapping in a Banach space by using a modified viscosity extragradient method. Moreover, using the above results, we can apply to finding solutions of zeros of accretive operators and the class of k-strictly pseudo- contractive mappings. The results presented in this paper extend and improve the corresponding results of Qin et al. [1], Aoyama et al. [2], Yao et al. [3] and many others. ฉ 2011 by the Mathematical Association of Thailand. All rights reserved.
Keywords
General system of
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