Iterative algorithms for mixed equilibrium problems, system of quasi-variational inclusion, and fixed point problem in hilbert spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Jitpeera T.

Publisher: Hindawi

Publication year: 2014

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2014

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84934901454&doi=10.1155%2f2014%2f271208&partnerID=40&md5=e96bbab47ff9357e820acf194bfe615f

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce a new iterative algorithm for approximating a common element of the set of solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion, and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space. Strong convergence of the proposed iterative algorithm is obtained. Our results generalize, extend, and improve the results of Peng and Yao, 2009, Qin et al. 2010 and many authors. ฉ 2014 Poom Kumam and Thanyarat Jitpeera.

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