Geodesic
A Hybrid Extragradient Method for Pseudomonotone Equilibrium Problems and Fixed Point Problems
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper, we introduce a new hybrid extragradient iteration method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for pseudomonotone and Lipschitz-type continuous bifunctions. The iterative process is based on two well-known methods: Hybrid and extragradient. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.
Classification : 65K10, 65K15, 90C25, 90C33 
@article{BMMS_2013_36_1_a9,
     author = {Pham Ngoc Anh},
     title = {A {Hybrid} {Extragradient} {Method} for {Pseudomonotone} {Equilibrium} {Problems} and {Fixed} {Point} {Problems}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a9/}
}
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%T A Hybrid Extragradient Method for Pseudomonotone Equilibrium Problems and Fixed Point Problems
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Pham Ngoc Anh. A Hybrid Extragradient Method for Pseudomonotone Equilibrium Problems and Fixed Point Problems. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a9/