Convergence analysis of hybrid projection with Cesเro mean method for the split equilibrium and general system of finite variational inequalities
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Author list: Deepho J., Martํnez-Moreno J., Sitthithakerngkiet K., Kumam P.
Publisher: Elsevier
Publication year: 2017
Journal: Journal of Computational and Applied Mathematics (0377-0427)
Volume number: 318
Start page: 658
End page: 673
Number of pages: 16
ISSN: 0377-0427
eISSN: 1879-1778
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we present a new iterative algorithm for finding a common element of three solution sets; (i) split equilibrium problem; (ii) general system of finite variational inequality problem; and (iii) fixed point problem. This algorithm is modified by hybrid method based on Cesเro mean in real Hilbert spaces. Furthermore, a strong convergent theorem is established and this theorem is the generalization of many previously known results in this research area. Finally, we study the rate of convergence of the iterative algorithm and some illustrative numerical examples are presented. ฉ 2015 Elsevier B.V.
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Cesเro means
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