Hilbert空间中混合平衡问题与非扩张半群的强收敛定理

Strong Convergence Theorem for a Mixed Equilibrium Problem and Fixed Point Problem for a Nonexpansive Semigroup in Hilbert Spaces

在Hilbert空间中引进并研究了一种新的迭代算法,借以寻求混合平衡问题解集与非扩张半群不动点集的一公共元.所得到的结果,推广并改进了最近一些人所发布的新结果.

The main purpose of this paper is to introduce and study a new iterative algorithom for finding a common element of the set of solutions for a mixed equilibrium problem and the set of fixed points for a nonexpansive semigroup mapping in Hilbert space.The results presented in the paper extends and improves the corresponding results announced by many others.