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Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in Banach Spaces

Fixed Point Theory and Applications volume 2011, Article number: 601910 (2011) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok, 10140, Thailand

    Nawitcha Onjai-uea & Poom Kumam

  2. Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok, 10400, Thailand

    Nawitcha Onjai-uea & Poom Kumam

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  1. Nawitcha Onjai-uea
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  2. Poom Kumam
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Correspondence to Poom Kumam.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Onjai-uea, N., Kumam, P. Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in Banach Spaces. Fixed Point Theory Appl 2011, 601910 (2011). https://doi.org/10.1155/2011/601910

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  • DOI: https://doi.org/10.1155/2011/601910

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