A new hybrid extragradient algorithm for solving the equilibrium and variational inequality problems
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Author list: Chamnarnpan T., Phiangsungnoen S., Kumam P.
Publisher: Springer
Publication year: 2013
Journal: Afrika Matematica (1012-9405)
Volume number: 26
Issue number: #
Start page: 87
End page: 98
Number of pages: 12
ISSN: 1012-9405
eISSN: 2190-7668
Languages: English-Great Britain (EN-GB)
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Abstract
The purpose of this paper is to introduce a new hybrid extragradient iterative algorithm for finding a common element of the set of points satisfying the Equilibrium problem, variational inequality and fixed point problems of a strict pseudocontraction mapping in Hilbert spaces. Consequently, we obtain the strong convergence of an iterative algorithm generated by the hybrid extragradient projection method. The results presented in this paper generalize, improve and extend some well-known results in the literature. ฉ 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
Keywords
Extragradient method, Fixed point problems, hybrid projection method, Lipschitz continuity, Variational inequality problems, ξ-strict pseudocontraction
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