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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Author listKatchang P., Kumam P.

Publication year2011

Volume number15

Issue number2

Start page281

End page295

Number of pages15

ISSN1385-1292

eISSN1385-1292

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79957923320&doi=10.1007%2fs11117-010-0074-8&partnerID=40&md5=11a4cb47c724282503afcfc67d5ebdfc

LanguagesEnglish-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 accretiveViscosity approximation


Last updated on 2023-14-10 at 07:35