Hybrid algorithms of common solutions of generalized mixed equilibrium problems and the common variational inequality problems with applications

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Jitpeera T., Witthayarat U.

Publisher: SpringerOpen

Publication year: 2011

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2011

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79959194528&doi=10.1155%2f2011%2f971479&partnerID=40&md5=2c9850ba2e5ecf8ba9e293100b0b2e89

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce new iterative algorithms by hybrid method for finding a common element of the set of solutions of fixed points of infinite family of nonexpansive mappings, the set of common solutions of generalized mixed equilibrium problems, and the set of common solutions of the variational inequality with inverse-strongly monotone mappings in a real Hilbert space. We prove the strong convergence of the proposed iterative method under some suitable conditions. Finally, we apply our results to complementarity problems and optimization problems. Our results improve and extend the results announced by many others. Copyright ฉ 2011 Thanyarat Jitpeera et al.

Keywords