平衡与不动点问题的强收敛定理(英文)

Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems

在Hilbert空间中用粘性逼近的方法引入了一个关于平衡问题与不动点问题的混合迭代格式,并证明了由此迭代格式导出的序列强收敛到平衡问题解集与有限个非扩张映射公共不动点集的一个公共元.

The aim of this paper is to introduce a new general composite iterative scheme by visosity approximation method in a Hilbert space and to prove that the sequence generated by the iterative scheme converges strongly to a common point of the set of solutions of an equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings.