A system of generalized mixed equilibrium problems and fixed point problems for pseudocontractive mappings in Hilbert spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Jaiboon C., Kumam P.

Publisher: SpringerOpen

Publication year: 2010

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

Volume number: 2010

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-77956738024&doi=10.1155%2f2010%2f361512&partnerID=40&md5=45f983646c9cffd62c6f1e429990dee3

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of a system of generalized mixed equilibrium problems, and the set of common solutions of the variational inequalities with inverse-strongly monotone mappings in Hilbert spaces. Furthermore, we prove new strong convergence theorems for a new iterative algorithm under some mild conditions. Finally, we also apply our results for solving convex feasibility problems in Hilbert spaces. The results obtained in this paper improve and extend the corresponding results announced by Qin and Kang (2010) and the previously known results in this area. Copyright ฉ 2010 Poom Kumam and Chaichana Jaiboon.

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