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1.
The purpose of this paper is to present a general iterative scheme as below:
and to prove that, if {α
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 , where h(x) is a convex and lower semicontinuous functional defined on a closed convex subset 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 others.
This research is supported by the National Natural Science Foundation of China under Grant No. 10771050. 相似文献
2.
新的空时二维谱估计信号模型 总被引：1，自引：0，他引：1
针对现有空时二维谱估计算法在信号数增大时均不同程度出现性能上的恶化直至失败的问题,总结了目前通用的空时二维谱估计信号模型,提出了“时域副流形”的概念及相应的信号处理方法。该算法通过时域投影对信号进行预处理,先从时域上对信号进行粗分,从而以较小的代价换取大信号数情况下算法性能的改善。理论分析与仿真结果证明了算法的有效性。 相似文献
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4.
Some sufficient conditions for the global exponential stability and lower bounds on the rate of exponential convergence of the cellular neural networks with delay (DCNNs) are obtained by means of a method based on delay differential inequality. The method, which does not make use of any Lyapunov functional, is simple and valid for the stability analysis of neural networks with delay. Some previously established results in this paper are shown to be special casses of the presented result. 相似文献