科研之友
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摘要
The purpose of this paper is to present a general iterative scheme as below: [GRAPHICS] and to prove that, if {alpha(n)} and {r(n)} satisfy appropriate conditions, then iteration sequences {x(n)} and {u(n)} converge strongly to a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping and the set of solution of a variational inequality, too. Furthermore, by using the above result, we can also obtain an iterative algorithm for solution of an optimization problem min h(x), where h(x) is a convex and lower semicontinuous functional defined on a closed convex subset C (x is an element of C)of a Hilbert space H. The results presented in this paper extend, generalize and improve the results of Combettes and Hirstoaga, Wittmann, S. Takahashi, Giuseppe Marino, Hong-Kun Xu, and some other.
- 出版日期2009-6
- 单位天津工业大学
