JNCA: Convergence theorems for fixed point problems and variational inequality problems



	Volume 9, Number 2, August 2008, pp. 239-248
Yonghong Yao, Yeong-Cheng Liou and Rudong Chen
Key words:
Strong convergence, α-inverse-strongly-monotone, fixed point, variational inequality, Hilbert space
Mathematices Subject Classification: Primary, 47H05, 47J05, 47J25

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	Abstract:
	Wn this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an α-inverse-strongly monotone mapping in a Hilbert space. We show that the sequence converges strongly to a common element of two sets under the some mild conditions on parameters.

Convergence theorems for fixed point problems and variational inequality problems