The Meir-Keeler type for solving variational inequalities and fixed points of nonexpansive semigroups in Banach spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Katchang P., Kumam P.

Publisher: Hindawi

Publication year: 2012

Journal: Journal of Applied Mathematics (1110-757X)

Volume number: 2012

ISSN: 1110-757X

eISSN: 1687-0042

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84874889473&doi=10.1155%2f2012%2f376421&partnerID=40&md5=53898401628b087e964f84f5b73508b8

Languages: English-Great Britain (EN-GB)

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Abstract

The aim of this paper is to introduce a new iterative scheme for finding common solutions of the variational inequalities for an inverse strongly accretive mapping and the solutions of fixed point problems for nonexpansive semigroups by using the modified viscosity approximation method associate with Meir-Keeler type mappings and obtain some strong convergence theorem in a Banach spaces under some parameters controlling conditions. Our results extend and improve the recent results of Li and Gu (2010), Wangkeeree and Preechasilp (2012), Yao and Maruster (2011), and many others. ฉ 2012 Phayap Katchang and Poom Kumam.

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