Abstract
In this paper, we introduced modified Mann iterative algorithms by the new hybrid projection method for finding a common element of the set of fixed points of a countable family of nonexpansive mappings, the set of the split generalized equilibrium problem and the set of solutions of the general system of the variational inequality problem for two-inverse strongly monotone mappings in real Hilbert spaces. The strong convergence theorem of the iterative algorithm in Hilbert spaces under certain mild conditions are provided.
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The second author was supported by the National Research Council of Thailand to the Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT/ 2557).
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Deepho, J., Kumam, W. & Kumam, P. A new Hybrid Projection Algorithm for Solving the Split Generalized Equilibrium Problems and the System of Variational Inequality Problems. J Math Model Algor 13, 405–423 (2014). https://doi.org/10.1007/s10852-014-9261-0
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DOI: https://doi.org/10.1007/s10852-014-9261-0