Algorithms of common solutions to generalized mixed equilibrium problems and a system of quasivariational inclusions for two difference nonlinear operators in Banach spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Onjai-Uea N.

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-s2.0-79953289319&doi=10.1155%2f2011%2f601910&partnerID=40&md5=11d3ab6db77f81c4af33d3fbc9d8097f

Languages: English-Great Britain (EN-GB)

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Abstract

We consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems, the set of solutions of a system of quasivariational inclusions for two difference inverse strongly accretive operators, and common set of fixed points for strict pseudo-contraction mappings in Banach spaces. Furthermore, strong convergence theorems of this method were established under suitable assumptions imposed on the algorithm parameters. The results obtained in this paper improve and extend some results in the literature. Copyright 2011 Nawitcha Onjai-uea and Poom Kumam.

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