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| Volume 9, Number 1, April 2008, pp. 37-43 | |||||||
| Abdellatif Moudafi | |||||||
| Key words: | |||||||
| Fixed point problem; variational inequality; inverse-strongly monotone operator; equilibrium problem; nonexpansive mapping. | |||||||
| Mathematices Subject Classification: Primary 90C25, 49M45, 65C25 | |||||||
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| Abstract: | |||
| We introduce a convergent method for approximating a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a monotone equilibrium problem. Using the main convergence theorem we obtain results which improve, develop and unify several results in fixed point problems, variational inequalities and equilibrium problems. | |||
| Weak convergence theorems for nonexpansive mappings and equilibrium problems | ||